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Finding the Fourth Proportional to 281,472.57, 422,208.72 and 71,110.44

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Solution

The fourth proportional to 281,472.57, 422,208.72 and 71,110.44 is: 106,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,472.57 : 422,208.72 = 71,110.44 : x
  2. Step 2: Convert to fraction form
    281,472.57/422,208.72 = 71,110.44/x
  3. Step 3: Cross multiply
    281,472.57x = 422,208.72 × 71,110.44
  4. Step 4: Simplify right side
    281,472.57x = 30,023,447,851.04
  5. Step 5: Solve for x
    x = 30,023,447,851.04/281,472.57
  6. Step 6: Final answer
    x = 106,665.63

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1.5x scale

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.