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Finding the Fourth Proportional to 281,757.74, 422,414.24 and 139,651.96

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Solution

The fourth proportional to 281,757.74, 422,414.24 and 139,651.96 is: 209,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,757.74 : 422,414.24 = 139,651.96 : x
  2. Step 2: Convert to fraction form
    281,757.74/422,414.24 = 139,651.96/x
  3. Step 3: Cross multiply
    281,757.74x = 422,414.24 × 139,651.96
  4. Step 4: Simplify right side
    281,757.74x = 58,990,976,547.91
  5. Step 5: Solve for x
    x = 58,990,976,547.91/281,757.74
  6. Step 6: Final answer
    x = 209,367.72

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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.