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Finding the Fourth Proportional to 218,082.60, 326,735.10 and 186,978.60

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Solution

The fourth proportional to 218,082.60, 326,735.10 and 186,978.60 is: 280,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,082.60 : 326,735.10 = 186,978.60 : x
  2. Step 2: Convert to fraction form
    218,082.60/326,735.10 = 186,978.60/x
  3. Step 3: Cross multiply
    218,082.60x = 326,735.10 × 186,978.60
  4. Step 4: Simplify right side
    218,082.60x = 61,092,471,568.86
  5. Step 5: Solve for x
    x = 61,092,471,568.86/218,082.60
  6. Step 6: Final answer
    x = 280,134.55

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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.