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Finding the Fourth Proportional to 661,062,003.80, 991,593,005.70 and 398,034,138.20

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Solution

The fourth proportional to 661,062,003.80, 991,593,005.70 and 398,034,138.20 is: 597,051,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,062,003.80 : 991,593,005.70 = 398,034,138.20 : x
  2. Step 2: Convert to fraction form
    661,062,003.80/991,593,005.70 = 398,034,138.20/x
  3. Step 3: Cross multiply
    661,062,003.80x = 991,593,005.70 × 398,034,138.20
  4. Step 4: Simplify right side
    661,062,003.80x = 394,687,867,468,947,200
  5. Step 5: Solve for x
    x = 394,687,867,468,947,200/661,062,003.80
  6. Step 6: Final answer
    x = 597,051,207.30

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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.