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Finding the Fourth Proportional to 378,098.44, 521,799.14 and 208,332.52

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Solution

The fourth proportional to 378,098.44, 521,799.14 and 208,332.52 is: 287,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,098.44 : 521,799.14 = 208,332.52 : x
  2. Step 2: Convert to fraction form
    378,098.44/521,799.14 = 208,332.52/x
  3. Step 3: Cross multiply
    378,098.44x = 521,799.14 × 208,332.52
  4. Step 4: Simplify right side
    378,098.44x = 108,707,729,770.03
  5. Step 5: Solve for x
    x = 108,707,729,770.03/378,098.44
  6. Step 6: Final answer
    x = 287,511.71

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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.