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Finding the Fourth Proportional to 394,474.20, 591,711.30 and 394,474.20

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Solution

The fourth proportional to 394,474.20, 591,711.30 and 394,474.20 is: 591,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,474.20 : 591,711.30 = 394,474.20 : x
  2. Step 2: Convert to fraction form
    394,474.20/591,711.30 = 394,474.20/x
  3. Step 3: Cross multiply
    394,474.20x = 591,711.30 × 394,474.20
  4. Step 4: Simplify right side
    394,474.20x = 233,414,841,698.46
  5. Step 5: Solve for x
    x = 233,414,841,698.46/394,474.20
  6. Step 6: Final answer
    x = 591,711.30

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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.