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Finding the Fourth Proportional to 287,902.31, 431,837.89 and 88,223.28

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Solution

The fourth proportional to 287,902.31, 431,837.89 and 88,223.28 is: 132,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,902.31 : 431,837.89 = 88,223.28 : x
  2. Step 2: Convert to fraction form
    287,902.31/431,837.89 = 88,223.28/x
  3. Step 3: Cross multiply
    287,902.31x = 431,837.89 × 88,223.28
  4. Step 4: Simplify right side
    287,902.31x = 38,098,153,574.97
  5. Step 5: Solve for x
    x = 38,098,153,574.97/287,902.31
  6. Step 6: Final answer
    x = 132,330.14

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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.