Tom and Gerry Jeffers are a married couple living in New York City, struggling with financial difficulties. Tom, an architect, is working on a potentially revolutionary airport project but lacks the necessary funds to realize it. Their landlord demands rent payment, adding to their mounting stress. Gerry, feeling responsible for their troubles and convinced she is holding Tom back, decides to leave him and head to Palm Beach in search of a wealthy benefactor who can support Tom’s dream.

On the train to Palm Beach, Gerry meets J.D. Hackensacker III, one of the richest men in the world, who quickly takes an interest in her. Meanwhile, Tom follows her, hoping to win her back. J.D. invites Gerry and Tom, who poses as her brother, to his luxurious yacht in the hope of persuading Gerry to return. What ensues is a series of comedic misadventures and misunderstandings involving J.D.’s quirky sister, Princess Centimillia, and her entourage, leading to a tangled web of relationships and unanticipated romantic complications.