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Finding the Fourth Proportional to 287,645.60, 431,144.40 and 137,957.60

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Solution

The fourth proportional to 287,645.60, 431,144.40 and 137,957.60 is: 206,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,645.60 : 431,144.40 = 137,957.60 : x
  2. Step 2: Convert to fraction form
    287,645.60/431,144.40 = 137,957.60/x
  3. Step 3: Cross multiply
    287,645.60x = 431,144.40 × 137,957.60
  4. Step 4: Simplify right side
    287,645.60x = 59,479,646,677.44
  5. Step 5: Solve for x
    x = 59,479,646,677.44/287,645.60
  6. Step 6: Final answer
    x = 206,781.01

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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.