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Finding the Fourth Proportional to 327,796.88, 490,976 and 270,993.20

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Solution

The fourth proportional to 327,796.88, 490,976 and 270,993.20 is: 405,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,796.88 : 490,976 = 270,993.20 : x
  2. Step 2: Convert to fraction form
    327,796.88/490,976 = 270,993.20/x
  3. Step 3: Cross multiply
    327,796.88x = 490,976 × 270,993.20
  4. Step 4: Simplify right side
    327,796.88x = 133,051,157,363.20
  5. Step 5: Solve for x
    x = 133,051,157,363.20/327,796.88
  6. Step 6: Final answer
    x = 405,895.13

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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.