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Finding the Fourth Proportional to 281,425.41, 422,306.31 and 258,531.04

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Solution

The fourth proportional to 281,425.41, 422,306.31 and 258,531.04 is: 387,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,425.41 : 422,306.31 = 258,531.04 : x
  2. Step 2: Convert to fraction form
    281,425.41/422,306.31 = 258,531.04/x
  3. Step 3: Cross multiply
    281,425.41x = 422,306.31 × 258,531.04
  4. Step 4: Simplify right side
    281,425.41x = 109,179,288,281.20
  5. Step 5: Solve for x
    x = 109,179,288,281.20/281,425.41
  6. Step 6: Final answer
    x = 387,951.06

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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.