Home / 509,082,893.52-702,514,616.76-311,175,752.28

Finding the Fourth Proportional to 509,082,893.52, 702,514,616.76 and 311,175,752.28

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Solution

The fourth proportional to 509,082,893.52, 702,514,616.76 and 311,175,752.28 is: 429,410,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,082,893.52 : 702,514,616.76 = 311,175,752.28 : x
  2. Step 2: Convert to fraction form
    509,082,893.52/702,514,616.76 = 311,175,752.28/x
  3. Step 3: Cross multiply
    509,082,893.52x = 702,514,616.76 × 311,175,752.28
  4. Step 4: Simplify right side
    509,082,893.52x = 218,605,514,357,988,864
  5. Step 5: Solve for x
    x = 218,605,514,357,988,864/509,082,893.52
  6. Step 6: Final answer
    x = 429,410,449.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.