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Finding the Fourth Proportional to 663,147,997.80, 994,721,996.70 and 469,656,234.60

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Solution

The fourth proportional to 663,147,997.80, 994,721,996.70 and 469,656,234.60 is: 704,484,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,147,997.80 : 994,721,996.70 = 469,656,234.60 : x
  2. Step 2: Convert to fraction form
    663,147,997.80/994,721,996.70 = 469,656,234.60/x
  3. Step 3: Cross multiply
    663,147,997.80x = 994,721,996.70 × 469,656,234.60
  4. Step 4: Simplify right side
    663,147,997.80x = 467,177,387,443,915,648
  5. Step 5: Solve for x
    x = 467,177,387,443,915,648/663,147,997.80
  6. Step 6: Final answer
    x = 704,484,351.90

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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.