Four-party in a sentence as an adjective

I would assume it works the same for other four-party schemes such as Visa.

The keyword you're looking for is the four-party system.

The four-party coalition the Pirate Party belongs to has 27 seats.

Ow, how I would have loved for not only Sanders, but also Trump to have been cheated out of their primary election, and then them both to have started a new party, America would have been a four-party system, overnight.

Four-party definitions

adjective

involving four parties

See also: quadripartite