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Finding the Fourth Proportional to 394,406.92, 591,373.41 and 154,234.90

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Solution

The fourth proportional to 394,406.92, 591,373.41 and 154,234.90 is: 231,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,406.92 : 591,373.41 = 154,234.90 : x
  2. Step 2: Convert to fraction form
    394,406.92/591,373.41 = 154,234.90/x
  3. Step 3: Cross multiply
    394,406.92x = 591,373.41 × 154,234.90
  4. Step 4: Simplify right side
    394,406.92x = 91,210,418,754.01
  5. Step 5: Solve for x
    x = 91,210,418,754.01/394,406.92
  6. Step 6: Final answer
    x = 231,259.68

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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.