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Finding the Fourth Proportional to 281,968.80, 422,972.40 and 82,288.80

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Solution

The fourth proportional to 281,968.80, 422,972.40 and 82,288.80 is: 123,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,968.80 : 422,972.40 = 82,288.80 : x
  2. Step 2: Convert to fraction form
    281,968.80/422,972.40 = 82,288.80/x
  3. Step 3: Cross multiply
    281,968.80x = 422,972.40 × 82,288.80
  4. Step 4: Simplify right side
    281,968.80x = 34,805,891,229.12
  5. Step 5: Solve for x
    x = 34,805,891,229.12/281,968.80
  6. Step 6: Final answer
    x = 123,438.80

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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.