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Finding the Fourth Proportional to 328,414.62, 491,661.78 and 296,896.92

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Solution

The fourth proportional to 328,414.62, 491,661.78 and 296,896.92 is: 444,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,414.62 : 491,661.78 = 296,896.92 : x
  2. Step 2: Convert to fraction form
    328,414.62/491,661.78 = 296,896.92/x
  3. Step 3: Cross multiply
    328,414.62x = 491,661.78 × 296,896.92
  4. Step 4: Simplify right side
    328,414.62x = 145,972,868,163.72
  5. Step 5: Solve for x
    x = 145,972,868,163.72/328,414.62
  6. Step 6: Final answer
    x = 444,477.37

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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.