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Finding the Fourth Proportional to 394,195.24, 591,735.12 and 157,702.78

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Solution

The fourth proportional to 394,195.24, 591,735.12 and 157,702.78 is: 236,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,195.24 : 591,735.12 = 157,702.78 : x
  2. Step 2: Convert to fraction form
    394,195.24/591,735.12 = 157,702.78/x
  3. Step 3: Cross multiply
    394,195.24x = 591,735.12 × 157,702.78
  4. Step 4: Simplify right side
    394,195.24x = 93,318,273,447.63
  5. Step 5: Solve for x
    x = 93,318,273,447.63/394,195.24
  6. Step 6: Final answer
    x = 236,731.10

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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.