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Finding the Fourth Proportional to 415,780.52, 623,665.31 and 100,234.89

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Solution

The fourth proportional to 415,780.52, 623,665.31 and 100,234.89 is: 150,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,780.52 : 623,665.31 = 100,234.89 : x
  2. Step 2: Convert to fraction form
    415,780.52/623,665.31 = 100,234.89/x
  3. Step 3: Cross multiply
    415,780.52x = 623,665.31 × 100,234.89
  4. Step 4: Simplify right side
    415,780.52x = 62,513,023,243.49
  5. Step 5: Solve for x
    x = 62,513,023,243.49/415,780.52
  6. Step 6: Final answer
    x = 150,351.02

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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.