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Finding the Fourth Proportional to 299,717.70, 413,636.67 and 172,434.30

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Solution

The fourth proportional to 299,717.70, 413,636.67 and 172,434.30 is: 237,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,717.70 : 413,636.67 = 172,434.30 : x
  2. Step 2: Convert to fraction form
    299,717.70/413,636.67 = 172,434.30/x
  3. Step 3: Cross multiply
    299,717.70x = 413,636.67 × 172,434.30
  4. Step 4: Simplify right side
    299,717.70x = 71,325,149,645.78
  5. Step 5: Solve for x
    x = 71,325,149,645.78/299,717.70
  6. Step 6: Final answer
    x = 237,974.43

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1.5x scale

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.