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Finding the Fourth Proportional to 273,428.80, 410,144.16 and 133,067.20

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Solution

The fourth proportional to 273,428.80, 410,144.16 and 133,067.20 is: 199,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,428.80 : 410,144.16 = 133,067.20 : x
  2. Step 2: Convert to fraction form
    273,428.80/410,144.16 = 133,067.20/x
  3. Step 3: Cross multiply
    273,428.80x = 410,144.16 × 133,067.20
  4. Step 4: Simplify right side
    273,428.80x = 54,576,734,967.55
  5. Step 5: Solve for x
    x = 54,576,734,967.55/273,428.80
  6. Step 6: Final answer
    x = 199,601.27

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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.