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Finding the Fourth Proportional to 327,212.80, 490,819.20 and 116,857.60

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Solution

The fourth proportional to 327,212.80, 490,819.20 and 116,857.60 is: 175,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,212.80 : 490,819.20 = 116,857.60 : x
  2. Step 2: Convert to fraction form
    327,212.80/490,819.20 = 116,857.60/x
  3. Step 3: Cross multiply
    327,212.80x = 490,819.20 × 116,857.60
  4. Step 4: Simplify right side
    327,212.80x = 57,355,953,745.92
  5. Step 5: Solve for x
    x = 57,355,953,745.92/327,212.80
  6. Step 6: Final answer
    x = 175,286.40

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1.5x scale

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.