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Finding the Fourth Proportional to 406,909.90, 610,422.45 and 126,397.90

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Solution

The fourth proportional to 406,909.90, 610,422.45 and 126,397.90 is: 189,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,909.90 : 610,422.45 = 126,397.90 : x
  2. Step 2: Convert to fraction form
    406,909.90/610,422.45 = 126,397.90/x
  3. Step 3: Cross multiply
    406,909.90x = 610,422.45 × 126,397.90
  4. Step 4: Simplify right side
    406,909.90x = 77,156,115,792.86
  5. Step 5: Solve for x
    x = 77,156,115,792.86/406,909.90
  6. Step 6: Final answer
    x = 189,614.74

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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.