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Finding the Fourth Proportional to 406,046.40, 609,002.40 and 136,171.20

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Solution

The fourth proportional to 406,046.40, 609,002.40 and 136,171.20 is: 204,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,046.40 : 609,002.40 = 136,171.20 : x
  2. Step 2: Convert to fraction form
    406,046.40/609,002.40 = 136,171.20/x
  3. Step 3: Cross multiply
    406,046.40x = 609,002.40 × 136,171.20
  4. Step 4: Simplify right side
    406,046.40x = 82,928,587,610.88
  5. Step 5: Solve for x
    x = 82,928,587,610.88/406,046.40
  6. Step 6: Final answer
    x = 204,234.26

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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.