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Finding the Fourth Proportional to 378,240.80, 521,968.97 and 206,158.77

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Solution

The fourth proportional to 378,240.80, 521,968.97 and 206,158.77 is: 284,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,240.80 : 521,968.97 = 206,158.77 : x
  2. Step 2: Convert to fraction form
    378,240.80/521,968.97 = 206,158.77/x
  3. Step 3: Cross multiply
    378,240.80x = 521,968.97 × 206,158.77
  4. Step 4: Simplify right side
    378,240.80x = 107,608,480,833.37
  5. Step 5: Solve for x
    x = 107,608,480,833.37/378,240.80
  6. Step 6: Final answer
    x = 284,497.29

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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.