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Finding the Fourth Proportional to 384,778.31, 577,175.67 and 132,057.71

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Solution

The fourth proportional to 384,778.31, 577,175.67 and 132,057.71 is: 198,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,778.31 : 577,175.67 = 132,057.71 : x
  2. Step 2: Convert to fraction form
    384,778.31/577,175.67 = 132,057.71/x
  3. Step 3: Cross multiply
    384,778.31x = 577,175.67 × 132,057.71
  4. Step 4: Simplify right side
    384,778.31x = 76,220,497,247.92
  5. Step 5: Solve for x
    x = 76,220,497,247.92/384,778.31
  6. Step 6: Final answer
    x = 198,089.38

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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.