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Finding the Fourth Proportional to 279,906.64, 419,244.52 and 231,324.66

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Solution

The fourth proportional to 279,906.64, 419,244.52 and 231,324.66 is: 346,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,906.64 : 419,244.52 = 231,324.66 : x
  2. Step 2: Convert to fraction form
    279,906.64/419,244.52 = 231,324.66/x
  3. Step 3: Cross multiply
    279,906.64x = 419,244.52 × 231,324.66
  4. Step 4: Simplify right side
    279,906.64x = 96,981,596,045.86
  5. Step 5: Solve for x
    x = 96,981,596,045.86/279,906.64
  6. Step 6: Final answer
    x = 346,478.37

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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.