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Finding the Fourth Proportional to 472,394,405.90, 708,591,608.85 and 437,957,029.10

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Solution

The fourth proportional to 472,394,405.90, 708,591,608.85 and 437,957,029.10 is: 656,935,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,394,405.90 : 708,591,608.85 = 437,957,029.10 : x
  2. Step 2: Convert to fraction form
    472,394,405.90/708,591,608.85 = 437,957,029.10/x
  3. Step 3: Cross multiply
    472,394,405.90x = 708,591,608.85 × 437,957,029.10
  4. Step 4: Simplify right side
    472,394,405.90x = 310,332,675,857,135,296
  5. Step 5: Solve for x
    x = 310,332,675,857,135,296/472,394,405.90
  6. Step 6: Final answer
    x = 656,935,543.65

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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.