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Finding the Fourth Proportional to 386,876.28, 580,202.10 and 162,230.88

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Solution

The fourth proportional to 386,876.28, 580,202.10 and 162,230.88 is: 243,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,876.28 : 580,202.10 = 162,230.88 : x
  2. Step 2: Convert to fraction form
    386,876.28/580,202.10 = 162,230.88/x
  3. Step 3: Cross multiply
    386,876.28x = 580,202.10 × 162,230.88
  4. Step 4: Simplify right side
    386,876.28x = 94,126,697,260.85
  5. Step 5: Solve for x
    x = 94,126,697,260.85/386,876.28
  6. Step 6: Final answer
    x = 243,299.22

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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.