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Finding the Fourth Proportional to 281,645.79, 422,469.31 and 68,412.75

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Solution

The fourth proportional to 281,645.79, 422,469.31 and 68,412.75 is: 102,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,645.79 : 422,469.31 = 68,412.75 : x
  2. Step 2: Convert to fraction form
    281,645.79/422,469.31 = 68,412.75/x
  3. Step 3: Cross multiply
    281,645.79x = 422,469.31 × 68,412.75
  4. Step 4: Simplify right side
    281,645.79x = 28,902,287,287.70
  5. Step 5: Solve for x
    x = 28,902,287,287.70/281,645.79
  6. Step 6: Final answer
    x = 102,619.28

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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.