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Finding the Fourth Proportional to 281,169.84, 422,766.36 and 259,251.36

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Solution

The fourth proportional to 281,169.84, 422,766.36 and 259,251.36 is: 389,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,169.84 : 422,766.36 = 259,251.36 : x
  2. Step 2: Convert to fraction form
    281,169.84/422,766.36 = 259,251.36/x
  3. Step 3: Cross multiply
    281,169.84x = 422,766.36 × 259,251.36
  4. Step 4: Simplify right side
    281,169.84x = 109,602,753,792.25
  5. Step 5: Solve for x
    x = 109,602,753,792.25/281,169.84
  6. Step 6: Final answer
    x = 389,809.78

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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.