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Finding the Fourth Proportional to 394,211.24, 591,759.12 and 157,718.78

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Solution

The fourth proportional to 394,211.24, 591,759.12 and 157,718.78 is: 236,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,211.24 : 591,759.12 = 157,718.78 : x
  2. Step 2: Convert to fraction form
    394,211.24/591,759.12 = 157,718.78/x
  3. Step 3: Cross multiply
    394,211.24x = 591,759.12 × 157,718.78
  4. Step 4: Simplify right side
    394,211.24x = 93,331,526,460.27
  5. Step 5: Solve for x
    x = 93,331,526,460.27/394,211.24
  6. Step 6: Final answer
    x = 236,755.11

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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.