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Finding the Fourth Proportional to 418,230.10, 627,358.78 and 199,092.41

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Solution

The fourth proportional to 418,230.10, 627,358.78 and 199,092.41 is: 298,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,230.10 : 627,358.78 = 199,092.41 : x
  2. Step 2: Convert to fraction form
    418,230.10/627,358.78 = 199,092.41/x
  3. Step 3: Cross multiply
    418,230.10x = 627,358.78 × 199,092.41
  4. Step 4: Simplify right side
    418,230.10x = 124,902,373,233.92
  5. Step 5: Solve for x
    x = 124,902,373,233.92/418,230.10
  6. Step 6: Final answer
    x = 298,645.11

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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.