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Finding the Fourth Proportional to 499,486,212.30, 749,229,318.45 and 491,833,461.90

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Solution

The fourth proportional to 499,486,212.30, 749,229,318.45 and 491,833,461.90 is: 737,750,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,486,212.30 : 749,229,318.45 = 491,833,461.90 : x
  2. Step 2: Convert to fraction form
    499,486,212.30/749,229,318.45 = 491,833,461.90/x
  3. Step 3: Cross multiply
    499,486,212.30x = 749,229,318.45 × 491,833,461.90
  4. Step 4: Simplify right side
    499,486,212.30x = 368,496,049,450,241,024
  5. Step 5: Solve for x
    x = 368,496,049,450,241,024/499,486,212.30
  6. Step 6: Final answer
    x = 737,750,192.85

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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.