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Finding the Fourth Proportional to 378,330.30, 522,079.92 and 206,244.54

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Solution

The fourth proportional to 378,330.30, 522,079.92 and 206,244.54 is: 284,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,330.30 : 522,079.92 = 206,244.54 : x
  2. Step 2: Convert to fraction form
    378,330.30/522,079.92 = 206,244.54/x
  3. Step 3: Cross multiply
    378,330.30x = 522,079.92 × 206,244.54
  4. Step 4: Simplify right side
    378,330.30x = 107,676,132,943.64
  5. Step 5: Solve for x
    x = 107,676,132,943.64/378,330.30
  6. Step 6: Final answer
    x = 284,608.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.