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Finding the Fourth Proportional to 386,721.60, 580,082.40 and 281,745.60

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Solution

The fourth proportional to 386,721.60, 580,082.40 and 281,745.60 is: 422,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,721.60 : 580,082.40 = 281,745.60 : x
  2. Step 2: Convert to fraction form
    386,721.60/580,082.40 = 281,745.60/x
  3. Step 3: Cross multiply
    386,721.60x = 580,082.40 × 281,745.60
  4. Step 4: Simplify right side
    386,721.60x = 163,435,663,837.44
  5. Step 5: Solve for x
    x = 163,435,663,837.44/386,721.60
  6. Step 6: Final answer
    x = 422,618.40

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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.