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Finding the Fourth Proportional to 442,297.96, 663,469.62 and 126,757.60

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Solution

The fourth proportional to 442,297.96, 663,469.62 and 126,757.60 is: 190,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,297.96 : 663,469.62 = 126,757.60 : x
  2. Step 2: Convert to fraction form
    442,297.96/663,469.62 = 126,757.60/x
  3. Step 3: Cross multiply
    442,297.96x = 663,469.62 × 126,757.60
  4. Step 4: Simplify right side
    442,297.96x = 84,099,816,704.11
  5. Step 5: Solve for x
    x = 84,099,816,704.11/442,297.96
  6. Step 6: Final answer
    x = 190,142.90

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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.