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Finding the Fourth Proportional to 386,765.10, 580,147.65 and 281,789.10

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Solution

The fourth proportional to 386,765.10, 580,147.65 and 281,789.10 is: 422,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,765.10 : 580,147.65 = 281,789.10 : x
  2. Step 2: Convert to fraction form
    386,765.10/580,147.65 = 281,789.10/x
  3. Step 3: Cross multiply
    386,765.10x = 580,147.65 × 281,789.10
  4. Step 4: Simplify right side
    386,765.10x = 163,479,284,160.62
  5. Step 5: Solve for x
    x = 163,479,284,160.62/386,765.10
  6. Step 6: Final answer
    x = 422,683.65

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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.