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Finding the Fourth Proportional to 327,619.65, 491,101.83 and 138,125.82

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Solution

The fourth proportional to 327,619.65, 491,101.83 and 138,125.82 is: 207,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,619.65 : 491,101.83 = 138,125.82 : x
  2. Step 2: Convert to fraction form
    327,619.65/491,101.83 = 138,125.82/x
  3. Step 3: Cross multiply
    327,619.65x = 491,101.83 × 138,125.82
  4. Step 4: Simplify right side
    327,619.65x = 67,833,842,972.25
  5. Step 5: Solve for x
    x = 67,833,842,972.25/327,619.65
  6. Step 6: Final answer
    x = 207,050.59

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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.