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Finding the Fourth Proportional to 271,044.30, 406,404.45 and 165,938.70

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Solution

The fourth proportional to 271,044.30, 406,404.45 and 165,938.70 is: 248,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,044.30 : 406,404.45 = 165,938.70 : x
  2. Step 2: Convert to fraction form
    271,044.30/406,404.45 = 165,938.70/x
  3. Step 3: Cross multiply
    271,044.30x = 406,404.45 × 165,938.70
  4. Step 4: Simplify right side
    271,044.30x = 67,438,226,107.22
  5. Step 5: Solve for x
    x = 67,438,226,107.22/271,044.30
  6. Step 6: Final answer
    x = 248,808.87

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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.