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Finding the Fourth Proportional to 378,306.16, 522,052.66 and 206,227.54

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Solution

The fourth proportional to 378,306.16, 522,052.66 and 206,227.54 is: 284,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,306.16 : 522,052.66 = 206,227.54 : x
  2. Step 2: Convert to fraction form
    378,306.16/522,052.66 = 206,227.54/x
  3. Step 3: Cross multiply
    378,306.16x = 522,052.66 × 206,227.54
  4. Step 4: Simplify right side
    378,306.16x = 107,661,635,822.26
  5. Step 5: Solve for x
    x = 107,661,635,822.26/378,306.16
  6. Step 6: Final answer
    x = 284,588.64

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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.