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Finding the Fourth Proportional to 271,965.67, 408,022.31 and 82,418.38

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Solution

The fourth proportional to 271,965.67, 408,022.31 and 82,418.38 is: 123,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,965.67 : 408,022.31 = 82,418.38 : x
  2. Step 2: Convert to fraction form
    271,965.67/408,022.31 = 82,418.38/x
  3. Step 3: Cross multiply
    271,965.67x = 408,022.31 × 82,418.38
  4. Step 4: Simplify right side
    271,965.67x = 33,628,536,980.05
  5. Step 5: Solve for x
    x = 33,628,536,980.05/271,965.67
  6. Step 6: Final answer
    x = 123,649.93

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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.