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Finding the Fourth Proportional to 509,304.31, 763,956.60 and 189,414.38

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Solution

The fourth proportional to 509,304.31, 763,956.60 and 189,414.38 is: 284,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,304.31 : 763,956.60 = 189,414.38 : x
  2. Step 2: Convert to fraction form
    509,304.31/763,956.60 = 189,414.38/x
  3. Step 3: Cross multiply
    509,304.31x = 763,956.60 × 189,414.38
  4. Step 4: Simplify right side
    509,304.31x = 144,704,363,826.02
  5. Step 5: Solve for x
    x = 144,704,363,826.02/509,304.31
  6. Step 6: Final answer
    x = 284,121.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.