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Finding the Fourth Proportional to 386,915.20, 580,833.60 and 218,569.60

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Solution

The fourth proportional to 386,915.20, 580,833.60 and 218,569.60 is: 328,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,915.20 : 580,833.60 = 218,569.60 : x
  2. Step 2: Convert to fraction form
    386,915.20/580,833.60 = 218,569.60/x
  3. Step 3: Cross multiply
    386,915.20x = 580,833.60 × 218,569.60
  4. Step 4: Simplify right side
    386,915.20x = 126,952,567,618.56
  5. Step 5: Solve for x
    x = 126,952,567,618.56/386,915.20
  6. Step 6: Final answer
    x = 328,114.71

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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.