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Finding the Fourth Proportional to 218,546.40, 327,819.60 and 192,885.60

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Solution

The fourth proportional to 218,546.40, 327,819.60 and 192,885.60 is: 289,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,546.40 : 327,819.60 = 192,885.60 : x
  2. Step 2: Convert to fraction form
    218,546.40/327,819.60 = 192,885.60/x
  3. Step 3: Cross multiply
    218,546.40x = 327,819.60 × 192,885.60
  4. Step 4: Simplify right side
    218,546.40x = 63,231,680,237.76
  5. Step 5: Solve for x
    x = 63,231,680,237.76/218,546.40
  6. Step 6: Final answer
    x = 289,328.40

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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.