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Finding the Fourth Proportional to 271,757.80, 407,650.90 and 82,213.40

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Solution

The fourth proportional to 271,757.80, 407,650.90 and 82,213.40 is: 123,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,757.80 : 407,650.90 = 82,213.40 : x
  2. Step 2: Convert to fraction form
    271,757.80/407,650.90 = 82,213.40/x
  3. Step 3: Cross multiply
    271,757.80x = 407,650.90 × 82,213.40
  4. Step 4: Simplify right side
    271,757.80x = 33,514,364,258.27
  5. Step 5: Solve for x
    x = 33,514,364,258.27/271,757.80
  6. Step 6: Final answer
    x = 123,324.39

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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.