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Finding the Fourth Proportional to 394,732.80, 591,807.60 and 169,909.20

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Solution

The fourth proportional to 394,732.80, 591,807.60 and 169,909.20 is: 254,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,732.80 : 591,807.60 = 169,909.20 : x
  2. Step 2: Convert to fraction form
    394,732.80/591,807.60 = 169,909.20/x
  3. Step 3: Cross multiply
    394,732.80x = 591,807.60 × 169,909.20
  4. Step 4: Simplify right side
    394,732.80x = 100,553,555,869.92
  5. Step 5: Solve for x
    x = 100,553,555,869.92/394,732.80
  6. Step 6: Final answer
    x = 254,738.28

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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.