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Finding the Fourth Proportional to 327,099.42, 490,448.16 and 127,186.78

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Solution

The fourth proportional to 327,099.42, 490,448.16 and 127,186.78 is: 190,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,099.42 : 490,448.16 = 127,186.78 : x
  2. Step 2: Convert to fraction form
    327,099.42/490,448.16 = 127,186.78/x
  3. Step 3: Cross multiply
    327,099.42x = 490,448.16 × 127,186.78
  4. Step 4: Simplify right side
    327,099.42x = 62,378,522,227.32
  5. Step 5: Solve for x
    x = 62,378,522,227.32/327,099.42
  6. Step 6: Final answer
    x = 190,702.03

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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.