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Finding the Fourth Proportional to 271,609.80, 408,029.10 and 188,665.80

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Solution

The fourth proportional to 271,609.80, 408,029.10 and 188,665.80 is: 283,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,609.80 : 408,029.10 = 188,665.80 : x
  2. Step 2: Convert to fraction form
    271,609.80/408,029.10 = 188,665.80/x
  3. Step 3: Cross multiply
    271,609.80x = 408,029.10 × 188,665.80
  4. Step 4: Simplify right side
    271,609.80x = 76,981,136,574.78
  5. Step 5: Solve for x
    x = 76,981,136,574.78/271,609.80
  6. Step 6: Final answer
    x = 283,425.47

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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.