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Finding the Fourth Proportional to 281,657.80, 422,640.30 and 115,462.60

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Solution

The fourth proportional to 281,657.80, 422,640.30 and 115,462.60 is: 173,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,657.80 : 422,640.30 = 115,462.60 : x
  2. Step 2: Convert to fraction form
    281,657.80/422,640.30 = 115,462.60/x
  3. Step 3: Cross multiply
    281,657.80x = 422,640.30 × 115,462.60
  4. Step 4: Simplify right side
    281,657.80x = 48,799,147,902.78
  5. Step 5: Solve for x
    x = 48,799,147,902.78/281,657.80
  6. Step 6: Final answer
    x = 173,256.87

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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.