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Finding the Fourth Proportional to 327,019.20, 490,601.70 and 127,321.80

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Solution

The fourth proportional to 327,019.20, 490,601.70 and 127,321.80 is: 191,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,019.20 : 490,601.70 = 127,321.80 : x
  2. Step 2: Convert to fraction form
    327,019.20/490,601.70 = 127,321.80/x
  3. Step 3: Cross multiply
    327,019.20x = 490,601.70 × 127,321.80
  4. Step 4: Simplify right side
    327,019.20x = 62,464,291,527.06
  5. Step 5: Solve for x
    x = 62,464,291,527.06/327,019.20
  6. Step 6: Final answer
    x = 191,011.08

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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.