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Finding the Fourth Proportional to 394,474.32, 591,653.16 and 145,098

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Solution

The fourth proportional to 394,474.32, 591,653.16 and 145,098 is: 217,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,474.32 : 591,653.16 = 145,098 : x
  2. Step 2: Convert to fraction form
    394,474.32/591,653.16 = 145,098/x
  3. Step 3: Cross multiply
    394,474.32x = 591,653.16 × 145,098
  4. Step 4: Simplify right side
    394,474.32x = 85,847,690,209.68
  5. Step 5: Solve for x
    x = 85,847,690,209.68/394,474.32
  6. Step 6: Final answer
    x = 217,625.55

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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.