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Finding the Fourth Proportional to 287,842.97, 431,761.41 and 98,301.17

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Solution

The fourth proportional to 287,842.97, 431,761.41 and 98,301.17 is: 147,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,842.97 : 431,761.41 = 98,301.17 : x
  2. Step 2: Convert to fraction form
    287,842.97/431,761.41 = 98,301.17/x
  3. Step 3: Cross multiply
    287,842.97x = 431,761.41 × 98,301.17
  4. Step 4: Simplify right side
    287,842.97x = 42,442,649,605.04
  5. Step 5: Solve for x
    x = 42,442,649,605.04/287,842.97
  6. Step 6: Final answer
    x = 147,450.71

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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.