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Finding the Fourth Proportional to 299,839.36, 413,778.72 and 172,512.40

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Solution

The fourth proportional to 299,839.36, 413,778.72 and 172,512.40 is: 238,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,839.36 : 413,778.72 = 172,512.40 : x
  2. Step 2: Convert to fraction form
    299,839.36/413,778.72 = 172,512.40/x
  3. Step 3: Cross multiply
    299,839.36x = 413,778.72 × 172,512.40
  4. Step 4: Simplify right side
    299,839.36x = 71,381,960,056.13
  5. Step 5: Solve for x
    x = 71,381,960,056.13/299,839.36
  6. Step 6: Final answer
    x = 238,067.34

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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.