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Finding the Fourth Proportional to 418,663.26, 628,092.90 and 138,180.24

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Solution

The fourth proportional to 418,663.26, 628,092.90 and 138,180.24 is: 207,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,663.26 : 628,092.90 = 138,180.24 : x
  2. Step 2: Convert to fraction form
    418,663.26/628,092.90 = 138,180.24/x
  3. Step 3: Cross multiply
    418,663.26x = 628,092.90 × 138,180.24
  4. Step 4: Simplify right side
    418,663.26x = 86,790,027,664.30
  5. Step 5: Solve for x
    x = 86,790,027,664.30/418,663.26
  6. Step 6: Final answer
    x = 207,302.71

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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.