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Finding the Fourth Proportional to 281,990, 422,939.64 and 82,263.44

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Solution

The fourth proportional to 281,990, 422,939.64 and 82,263.44 is: 123,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,990 : 422,939.64 = 82,263.44 : x
  2. Step 2: Convert to fraction form
    281,990/422,939.64 = 82,263.44/x
  3. Step 3: Cross multiply
    281,990x = 422,939.64 × 82,263.44
  4. Step 4: Simplify right side
    281,990x = 34,792,469,698.76
  5. Step 5: Solve for x
    x = 34,792,469,698.76/281,990
  6. Step 6: Final answer
    x = 123,381.93

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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.