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Finding the Fourth Proportional to 406,165.92, 609,346.08 and 125,683.20

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Solution

The fourth proportional to 406,165.92, 609,346.08 and 125,683.20 is: 188,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,165.92 : 609,346.08 = 125,683.20 : x
  2. Step 2: Convert to fraction form
    406,165.92/609,346.08 = 125,683.20/x
  3. Step 3: Cross multiply
    406,165.92x = 609,346.08 × 125,683.20
  4. Step 4: Simplify right side
    406,165.92x = 76,584,565,241.86
  5. Step 5: Solve for x
    x = 76,584,565,241.86/406,165.92
  6. Step 6: Final answer
    x = 188,554.88

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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.