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Finding the Fourth Proportional to 676,648.47, 1,014,654.87 and 392,419.80

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Solution

The fourth proportional to 676,648.47, 1,014,654.87 and 392,419.80 is: 588,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,648.47 : 1,014,654.87 = 392,419.80 : x
  2. Step 2: Convert to fraction form
    676,648.47/1,014,654.87 = 392,419.80/x
  3. Step 3: Cross multiply
    676,648.47x = 1,014,654.87 × 392,419.80
  4. Step 4: Simplify right side
    676,648.47x = 398,170,661,154.43
  5. Step 5: Solve for x
    x = 398,170,661,154.43/676,648.47
  6. Step 6: Final answer
    x = 588,445.37

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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.