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Finding the Fourth Proportional to 410,731.70, 616,155.88 and 126,445.92

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Solution

The fourth proportional to 410,731.70, 616,155.88 and 126,445.92 is: 189,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,731.70 : 616,155.88 = 126,445.92 : x
  2. Step 2: Convert to fraction form
    410,731.70/616,155.88 = 126,445.92/x
  3. Step 3: Cross multiply
    410,731.70x = 616,155.88 × 126,445.92
  4. Step 4: Simplify right side
    410,731.70x = 77,910,397,110.01
  5. Step 5: Solve for x
    x = 77,910,397,110.01/410,731.70
  6. Step 6: Final answer
    x = 189,686.84

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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.