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Finding the Fourth Proportional to 299,660.25, 413,531.15 and 172,333.11

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Solution

The fourth proportional to 299,660.25, 413,531.15 and 172,333.11 is: 237,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,660.25 : 413,531.15 = 172,333.11 : x
  2. Step 2: Convert to fraction form
    299,660.25/413,531.15 = 172,333.11/x
  3. Step 3: Cross multiply
    299,660.25x = 413,531.15 × 172,333.11
  4. Step 4: Simplify right side
    299,660.25x = 71,265,109,161.38
  5. Step 5: Solve for x
    x = 71,265,109,161.38/299,660.25
  6. Step 6: Final answer
    x = 237,819.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.