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Finding the Fourth Proportional to 418,429.13, 627,608.07 and 165,640.88

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Solution

The fourth proportional to 418,429.13, 627,608.07 and 165,640.88 is: 248,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,429.13 : 627,608.07 = 165,640.88 : x
  2. Step 2: Convert to fraction form
    418,429.13/627,608.07 = 165,640.88/x
  3. Step 3: Cross multiply
    418,429.13x = 627,608.07 × 165,640.88
  4. Step 4: Simplify right side
    418,429.13x = 103,957,549,871.86
  5. Step 5: Solve for x
    x = 103,957,549,871.86/418,429.13
  6. Step 6: Final answer
    x = 248,447.21

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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.