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Finding the Fourth Proportional to 287,640.60, 431,136.90 and 137,952.60

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Solution

The fourth proportional to 287,640.60, 431,136.90 and 137,952.60 is: 206,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,640.60 : 431,136.90 = 137,952.60 : x
  2. Step 2: Convert to fraction form
    287,640.60/431,136.90 = 137,952.60/x
  3. Step 3: Cross multiply
    287,640.60x = 431,136.90 × 137,952.60
  4. Step 4: Simplify right side
    287,640.60x = 59,476,456,310.94
  5. Step 5: Solve for x
    x = 59,476,456,310.94/287,640.60
  6. Step 6: Final answer
    x = 206,773.51

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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.