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Finding the Fourth Proportional to 472,791,540.80, 709,187,311.20 and 127,798,414.40

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Solution

The fourth proportional to 472,791,540.80, 709,187,311.20 and 127,798,414.40 is: 191,697,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,791,540.80 : 709,187,311.20 = 127,798,414.40 : x
  2. Step 2: Convert to fraction form
    472,791,540.80/709,187,311.20 = 127,798,414.40/x
  3. Step 3: Cross multiply
    472,791,540.80x = 709,187,311.20 × 127,798,414.40
  4. Step 4: Simplify right side
    472,791,540.80x = 90,633,013,883,959,376
  5. Step 5: Solve for x
    x = 90,633,013,883,959,376/472,791,540.80
  6. Step 6: Final answer
    x = 191,697,621.60

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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.