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Finding the Fourth Proportional to 285,609.80, 428,414.70 and 108,122.60

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Solution

The fourth proportional to 285,609.80, 428,414.70 and 108,122.60 is: 162,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,609.80 : 428,414.70 = 108,122.60 : x
  2. Step 2: Convert to fraction form
    285,609.80/428,414.70 = 108,122.60/x
  3. Step 3: Cross multiply
    285,609.80x = 428,414.70 × 108,122.60
  4. Step 4: Simplify right side
    285,609.80x = 46,321,311,242.22
  5. Step 5: Solve for x
    x = 46,321,311,242.22/285,609.80
  6. Step 6: Final answer
    x = 162,183.90

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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.