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Finding the Fourth Proportional to 418,634.88, 627,981.12 and 138,348.96

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Solution

The fourth proportional to 418,634.88, 627,981.12 and 138,348.96 is: 207,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,634.88 : 627,981.12 = 138,348.96 : x
  2. Step 2: Convert to fraction form
    418,634.88/627,981.12 = 138,348.96/x
  3. Step 3: Cross multiply
    418,634.88x = 627,981.12 × 138,348.96
  4. Step 4: Simplify right side
    418,634.88x = 86,880,534,851.64
  5. Step 5: Solve for x
    x = 86,880,534,851.64/418,634.88
  6. Step 6: Final answer
    x = 207,532.96

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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.