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Finding the Fourth Proportional to 271,378.60, 406,952.70 and 131,180.20

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Solution

The fourth proportional to 271,378.60, 406,952.70 and 131,180.20 is: 196,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,378.60 : 406,952.70 = 131,180.20 : x
  2. Step 2: Convert to fraction form
    271,378.60/406,952.70 = 131,180.20/x
  3. Step 3: Cross multiply
    271,378.60x = 406,952.70 × 131,180.20
  4. Step 4: Simplify right side
    271,378.60x = 53,384,136,576.54
  5. Step 5: Solve for x
    x = 53,384,136,576.54/271,378.60
  6. Step 6: Final answer
    x = 196,714.61

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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.