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Finding the Fourth Proportional to 279,272.16, 419,301.90 and 200,343.36

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Solution

The fourth proportional to 279,272.16, 419,301.90 and 200,343.36 is: 300,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,272.16 : 419,301.90 = 200,343.36 : x
  2. Step 2: Convert to fraction form
    279,272.16/419,301.90 = 200,343.36/x
  3. Step 3: Cross multiply
    279,272.16x = 419,301.90 × 200,343.36
  4. Step 4: Simplify right side
    279,272.16x = 84,004,351,500.38
  5. Step 5: Solve for x
    x = 84,004,351,500.38/279,272.16
  6. Step 6: Final answer
    x = 300,797.44

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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.