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Finding the Fourth Proportional to 538,463.31, 743,082.29 and 309,002.32

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Solution

The fourth proportional to 538,463.31, 743,082.29 and 309,002.32 is: 426,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,463.31 : 743,082.29 = 309,002.32 : x
  2. Step 2: Convert to fraction form
    538,463.31/743,082.29 = 309,002.32/x
  3. Step 3: Cross multiply
    538,463.31x = 743,082.29 × 309,002.32
  4. Step 4: Simplify right side
    538,463.31x = 229,614,151,560.91
  5. Step 5: Solve for x
    x = 229,614,151,560.91/538,463.31
  6. Step 6: Final answer
    x = 426,424.88

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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.