Blood will be pushed through the tricuspid valve to the Right Ventricle, the chamber which will pump to the lungs through the pulmonic valve to the Pulmonary Arteries, providing blood to both lungs. Blood is circulated through the lungs where carbon dioxide is removed and oxygen added. It returns through the Pulmonary Veins, which empty into the Left Atrium, a chamber which will push the Mitral Valve open.
Blood then passes into the Left Ventricle.
Although it doesn't always look like it in drawings done from this angle, this is the largest and most important chamber in the heart. It pumps to the rest of the body. As it pumps, the pressure will close the mitral valve and open the aortic valve, with blood passing through to the Aorta, where it will be delivered to the rest of the body.