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Finding the Fourth Proportional to 328,163.40, 491,151.60 and 237,949.65

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Solution

The fourth proportional to 328,163.40, 491,151.60 and 237,949.65 is: 356,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,163.40 : 491,151.60 = 237,949.65 : x
  2. Step 2: Convert to fraction form
    328,163.40/491,151.60 = 237,949.65/x
  3. Step 3: Cross multiply
    328,163.40x = 491,151.60 × 237,949.65
  4. Step 4: Simplify right side
    328,163.40x = 116,869,351,316.94
  5. Step 5: Solve for x
    x = 116,869,351,316.94/328,163.40
  6. Step 6: Final answer
    x = 356,131.58

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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.