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Finding the Fourth Proportional to 287,916.98, 431,469.51 and 135,951.92

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Solution

The fourth proportional to 287,916.98, 431,469.51 and 135,951.92 is: 203,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,916.98 : 431,469.51 = 135,951.92 : x
  2. Step 2: Convert to fraction form
    287,916.98/431,469.51 = 135,951.92/x
  3. Step 3: Cross multiply
    287,916.98x = 431,469.51 × 135,951.92
  4. Step 4: Simplify right side
    287,916.98x = 58,659,105,468.85
  5. Step 5: Solve for x
    x = 58,659,105,468.85/287,916.98
  6. Step 6: Final answer
    x = 203,736.18

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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.