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Finding the Fourth Proportional to 418,261.35, 627,411.48 and 137,781.03

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Solution

The fourth proportional to 418,261.35, 627,411.48 and 137,781.03 is: 206,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,261.35 : 627,411.48 = 137,781.03 : x
  2. Step 2: Convert to fraction form
    418,261.35/627,411.48 = 137,781.03/x
  3. Step 3: Cross multiply
    418,261.35x = 627,411.48 × 137,781.03
  4. Step 4: Simplify right side
    418,261.35x = 86,445,399,948.22
  5. Step 5: Solve for x
    x = 86,445,399,948.22/418,261.35
  6. Step 6: Final answer
    x = 206,677.95

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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.