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Finding the Fourth Proportional to 271,167.28, 406,479.96 and 128,762

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Solution

The fourth proportional to 271,167.28, 406,479.96 and 128,762 is: 193,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,167.28 : 406,479.96 = 128,762 : x
  2. Step 2: Convert to fraction form
    271,167.28/406,479.96 = 128,762/x
  3. Step 3: Cross multiply
    271,167.28x = 406,479.96 × 128,762
  4. Step 4: Simplify right side
    271,167.28x = 52,339,172,609.52
  5. Step 5: Solve for x
    x = 52,339,172,609.52/271,167.28
  6. Step 6: Final answer
    x = 193,014.34

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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.