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Finding the Fourth Proportional to 386,115.80, 532,523.87 and 271,772.96

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Solution

The fourth proportional to 386,115.80, 532,523.87 and 271,772.96 is: 374,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,115.80 : 532,523.87 = 271,772.96 : x
  2. Step 2: Convert to fraction form
    386,115.80/532,523.87 = 271,772.96/x
  3. Step 3: Cross multiply
    386,115.80x = 532,523.87 × 271,772.96
  4. Step 4: Simplify right side
    386,115.80x = 144,725,584,399.07
  5. Step 5: Solve for x
    x = 144,725,584,399.07/386,115.80
  6. Step 6: Final answer
    x = 374,824.30

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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.