I bought a 1.74 amp 200 watt power inverter, and I turn on my car and plug it into the cigarette lighter. I have a stereo system around 200 watts plugged into the inverter. At half volume it runs fine, but once it more than that, it will auto shut off. I tried on a more modern car and it can run at full volume. So I know the problem is that my car is not supplying enough power to the inverter quick enough. I know I can probably hook up the inverter to the battery, but I want to use the inverter on-the-go. Is there any alternatives to this? Like any other way around, because I really want quality sound in my car, but I am on a budget. Thanks.

ALSO keep in mind that watts is a measure of heat produced, amps is a measure of current (eletricity) moving. Just because the watts match up doesn’t mean you have enough amps. When you turn up the radio you pull more amps. Something in your car will not pull that much current. Try the increasing your fuse but you may overload your cars wires and catch fire!
If this is your ride, and the primary car, then purchase an auxillary accessory socket, mount under the dashboard, and run a #12 wire from the battery to a fuse, to the socket. Total cost will besomething < $20.00, and cost about 45 minutes to install.
Happy Motoring
The wires to your cigarette plug are not big enough. You need to run bigger wires from the battery to the converter, and make sure to put a fuse on the red wire. A stereo shop can install the wires for you.
Check your fuse rating that supplied to the cigarrette plug-in, most of the time its around 15-20A, but if you’re using an Inverter, its drawing more ampere, then replace with 25-30A or a little higher fuse rating. Hope that solve the problem.