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Finding the Fourth Proportional to 406,044.40, 608,999.40 and 136,169.20

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Solution

The fourth proportional to 406,044.40, 608,999.40 and 136,169.20 is: 204,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,044.40 : 608,999.40 = 136,169.20 : x
  2. Step 2: Convert to fraction form
    406,044.40/608,999.40 = 136,169.20/x
  3. Step 3: Cross multiply
    406,044.40x = 608,999.40 × 136,169.20
  4. Step 4: Simplify right side
    406,044.40x = 82,926,961,098.48
  5. Step 5: Solve for x
    x = 82,926,961,098.48/406,044.40
  6. Step 6: Final answer
    x = 204,231.26

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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.