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Finding the Fourth Proportional to 415,780.39, 623,665.12 and 100,234.77

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Solution

The fourth proportional to 415,780.39, 623,665.12 and 100,234.77 is: 150,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,780.39 : 623,665.12 = 100,234.77 : x
  2. Step 2: Convert to fraction form
    415,780.39/623,665.12 = 100,234.77/x
  3. Step 3: Cross multiply
    415,780.39x = 623,665.12 × 100,234.77
  4. Step 4: Simplify right side
    415,780.39x = 62,512,926,240.72
  5. Step 5: Solve for x
    x = 62,512,926,240.72/415,780.39
  6. Step 6: Final answer
    x = 150,350.83

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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.