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Finding the Fourth Proportional to 418,605.28, 627,929.70 and 138,144.40

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Solution

The fourth proportional to 418,605.28, 627,929.70 and 138,144.40 is: 207,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,605.28 : 627,929.70 = 138,144.40 : x
  2. Step 2: Convert to fraction form
    418,605.28/627,929.70 = 138,144.40/x
  3. Step 3: Cross multiply
    418,605.28x = 627,929.70 × 138,144.40
  4. Step 4: Simplify right side
    418,605.28x = 86,744,971,648.68
  5. Step 5: Solve for x
    x = 86,744,971,648.68/418,605.28
  6. Step 6: Final answer
    x = 207,223.79

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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.