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Finding the Fourth Proportional to 327,907.10, 491,934.68 and 100,223.39

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Solution

The fourth proportional to 327,907.10, 491,934.68 and 100,223.39 is: 150,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,907.10 : 491,934.68 = 100,223.39 : x
  2. Step 2: Convert to fraction form
    327,907.10/491,934.68 = 100,223.39/x
  3. Step 3: Cross multiply
    327,907.10x = 491,934.68 × 100,223.39
  4. Step 4: Simplify right side
    327,907.10x = 49,303,361,288.17
  5. Step 5: Solve for x
    x = 49,303,361,288.17/327,907.10
  6. Step 6: Final answer
    x = 150,357.71

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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.