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Finding the Fourth Proportional to 299,716.20, 413,634.60 and 172,432.80

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Solution

The fourth proportional to 299,716.20, 413,634.60 and 172,432.80 is: 237,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,716.20 : 413,634.60 = 172,432.80 : x
  2. Step 2: Convert to fraction form
    299,716.20/413,634.60 = 172,432.80/x
  3. Step 3: Cross multiply
    299,716.20x = 413,634.60 × 172,432.80
  4. Step 4: Simplify right side
    299,716.20x = 71,324,172,254.88
  5. Step 5: Solve for x
    x = 71,324,172,254.88/299,716.20
  6. Step 6: Final answer
    x = 237,972.36

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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.