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Finding the Fourth Proportional to 666,661,874.87, 1,000,015,491.11 and 316,727,344.53

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Solution

The fourth proportional to 666,661,874.87, 1,000,015,491.11 and 316,727,344.53 is: 475,101,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,661,874.87 : 1,000,015,491.11 = 316,727,344.53 : x
  2. Step 2: Convert to fraction form
    666,661,874.87/1,000,015,491.11 = 316,727,344.53/x
  3. Step 3: Cross multiply
    666,661,874.87x = 1,000,015,491.11 × 316,727,344.53
  4. Step 4: Simplify right side
    666,661,874.87x = 316,732,250,988,324,160
  5. Step 5: Solve for x
    x = 316,732,250,988,324,160/666,661,874.87
  6. Step 6: Final answer
    x = 475,101,791.37

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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.