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Finding the Fourth Proportional to 281,940.36, 422,924.85 and 82,275.90

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Solution

The fourth proportional to 281,940.36, 422,924.85 and 82,275.90 is: 123,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,940.36 : 422,924.85 = 82,275.90 : x
  2. Step 2: Convert to fraction form
    281,940.36/422,924.85 = 82,275.90/x
  3. Step 3: Cross multiply
    281,940.36x = 422,924.85 × 82,275.90
  4. Step 4: Simplify right side
    281,940.36x = 34,796,522,666.12
  5. Step 5: Solve for x
    x = 34,796,522,666.12/281,940.36
  6. Step 6: Final answer
    x = 123,418.03

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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.