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Finding the Fourth Proportional to 971,134,715.10, 1,456,702,072.65 and 858,894,375.90

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Solution

The fourth proportional to 971,134,715.10, 1,456,702,072.65 and 858,894,375.90 is: 1,288,341,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,134,715.10 : 1,456,702,072.65 = 858,894,375.90 : x
  2. Step 2: Convert to fraction form
    971,134,715.10/1,456,702,072.65 = 858,894,375.90/x
  3. Step 3: Cross multiply
    971,134,715.10x = 1,456,702,072.65 × 858,894,375.90
  4. Step 4: Simplify right side
    971,134,715.10x = 1,251,153,217,560,958,208
  5. Step 5: Solve for x
    x = 1,251,153,217,560,958,208/971,134,715.10
  6. Step 6: Final answer
    x = 1,288,341,563.85

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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.