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Finding the Fourth Proportional to 281,879.70, 422,890.11 and 82,200.11

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Solution

The fourth proportional to 281,879.70, 422,890.11 and 82,200.11 is: 123,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,879.70 : 422,890.11 = 82,200.11 : x
  2. Step 2: Convert to fraction form
    281,879.70/422,890.11 = 82,200.11/x
  3. Step 3: Cross multiply
    281,879.70x = 422,890.11 × 82,200.11
  4. Step 4: Simplify right side
    281,879.70x = 34,761,612,297.19
  5. Step 5: Solve for x
    x = 34,761,612,297.19/281,879.70
  6. Step 6: Final answer
    x = 123,320.74

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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.