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Finding the Fourth Proportional to 287,572.60, 431,034.90 and 137,884.60

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Solution

The fourth proportional to 287,572.60, 431,034.90 and 137,884.60 is: 206,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,572.60 : 431,034.90 = 137,884.60 : x
  2. Step 2: Convert to fraction form
    287,572.60/431,034.90 = 137,884.60/x
  3. Step 3: Cross multiply
    287,572.60x = 431,034.90 × 137,884.60
  4. Step 4: Simplify right side
    287,572.60x = 59,433,074,772.54
  5. Step 5: Solve for x
    x = 59,433,074,772.54/287,572.60
  6. Step 6: Final answer
    x = 206,671.55

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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.