wait, what? that you didn't get at least 400W to begin with, and then got an adittional 180W, instead of upgrading the first one, i cannot understand.
the PSU doens't start automativally, just because you have hooked it up to the GPU. but it's just the green wire,on the 24pin, that needs to be connected to ground at power up. you ought to be able to find a cheap adapter cable on ebay