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Finding the Fourth Proportional to 499,045.74, 749,073.24 and 442,481.82

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Solution

The fourth proportional to 499,045.74, 749,073.24 and 442,481.82 is: 664,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,045.74 : 749,073.24 = 442,481.82 : x
  2. Step 2: Convert to fraction form
    499,045.74/749,073.24 = 442,481.82/x
  3. Step 3: Cross multiply
    499,045.74x = 749,073.24 × 442,481.82
  4. Step 4: Simplify right side
    499,045.74x = 331,451,290,548.50
  5. Step 5: Solve for x
    x = 331,451,290,548.50/499,045.74
  6. Step 6: Final answer
    x = 664,170.16

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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.