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Finding the Fourth Proportional to 472,394,967.40, 708,592,451.10 and 437,957,590.60

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Solution

The fourth proportional to 472,394,967.40, 708,592,451.10 and 437,957,590.60 is: 656,936,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,394,967.40 : 708,592,451.10 = 437,957,590.60 : x
  2. Step 2: Convert to fraction form
    472,394,967.40/708,592,451.10 = 437,957,590.60/x
  3. Step 3: Cross multiply
    472,394,967.40x = 708,592,451.10 × 437,957,590.60
  4. Step 4: Simplify right side
    472,394,967.40x = 310,333,442,601,104,320
  5. Step 5: Solve for x
    x = 310,333,442,601,104,320/472,394,967.40
  6. Step 6: Final answer
    x = 656,936,385.90

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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.