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Finding the Fourth Proportional to 415,123.92, 622,463.16 and 130,761.36

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Solution

The fourth proportional to 415,123.92, 622,463.16 and 130,761.36 is: 196,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,123.92 : 622,463.16 = 130,761.36 : x
  2. Step 2: Convert to fraction form
    415,123.92/622,463.16 = 130,761.36/x
  3. Step 3: Cross multiply
    415,123.92x = 622,463.16 × 130,761.36
  4. Step 4: Simplify right side
    415,123.92x = 81,394,129,351.50
  5. Step 5: Solve for x
    x = 81,394,129,351.50/415,123.92
  6. Step 6: Final answer
    x = 196,071.88

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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.