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Finding the Fourth Proportional to 327,199.20, 490,215.60 and 202,394.40

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Solution

The fourth proportional to 327,199.20, 490,215.60 and 202,394.40 is: 303,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,199.20 : 490,215.60 = 202,394.40 : x
  2. Step 2: Convert to fraction form
    327,199.20/490,215.60 = 202,394.40/x
  3. Step 3: Cross multiply
    327,199.20x = 490,215.60 × 202,394.40
  4. Step 4: Simplify right side
    327,199.20x = 99,216,892,232.64
  5. Step 5: Solve for x
    x = 99,216,892,232.64/327,199.20
  6. Step 6: Final answer
    x = 303,230.85

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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.