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Finding the Fourth Proportional to 386,875.28, 580,200.60 and 162,229.88

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Solution

The fourth proportional to 386,875.28, 580,200.60 and 162,229.88 is: 243,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,875.28 : 580,200.60 = 162,229.88 : x
  2. Step 2: Convert to fraction form
    386,875.28/580,200.60 = 162,229.88/x
  3. Step 3: Cross multiply
    386,875.28x = 580,200.60 × 162,229.88
  4. Step 4: Simplify right side
    386,875.28x = 94,125,873,713.93
  5. Step 5: Solve for x
    x = 94,125,873,713.93/386,875.28
  6. Step 6: Final answer
    x = 243,297.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.