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Finding the Fourth Proportional to 442,297.46, 663,468.87 and 126,757.10

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Solution

The fourth proportional to 442,297.46, 663,468.87 and 126,757.10 is: 190,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,297.46 : 663,468.87 = 126,757.10 : x
  2. Step 2: Convert to fraction form
    442,297.46/663,468.87 = 126,757.10/x
  3. Step 3: Cross multiply
    442,297.46x = 663,468.87 × 126,757.10
  4. Step 4: Simplify right side
    442,297.46x = 84,099,389,901.48
  5. Step 5: Solve for x
    x = 84,099,389,901.48/442,297.46
  6. Step 6: Final answer
    x = 190,142.15

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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.