Further note. If the steel ball's support is unsupported (there is no floor pictured) it will fall and the weight of the steel ball on the bottom of its container (to say nothing of the weight of the support structure) will cause that side to fall.

If there is a floor directly underneath the fulcrum, the steel ball will fall to the bottom of its container (but no further) and it's weight will prevent the ping pong ball side from falling even though it has a higher mass. The system would then remain static.