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Finding the Fourth Proportional to 418,312.40, 627,468.60 and 137,793.20

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Solution

The fourth proportional to 418,312.40, 627,468.60 and 137,793.20 is: 206,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,312.40 : 627,468.60 = 137,793.20 : x
  2. Step 2: Convert to fraction form
    418,312.40/627,468.60 = 137,793.20/x
  3. Step 3: Cross multiply
    418,312.40x = 627,468.60 × 137,793.20
  4. Step 4: Simplify right side
    418,312.40x = 86,460,906,293.52
  5. Step 5: Solve for x
    x = 86,460,906,293.52/418,312.40
  6. Step 6: Final answer
    x = 206,689.80

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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.