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Finding the Fourth Proportional to 378,198.77, 521,991.76 and 225,326.52

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Solution

The fourth proportional to 378,198.77, 521,991.76 and 225,326.52 is: 310,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,198.77 : 521,991.76 = 225,326.52 : x
  2. Step 2: Convert to fraction form
    378,198.77/521,991.76 = 225,326.52/x
  3. Step 3: Cross multiply
    378,198.77x = 521,991.76 × 225,326.52
  4. Step 4: Simplify right side
    378,198.77x = 117,618,586,186.16
  5. Step 5: Solve for x
    x = 117,618,586,186.16/378,198.77
  6. Step 6: Final answer
    x = 310,996.74

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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.