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Finding the Fourth Proportional to 378,086.42, 521,758.31 and 208,320.54

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Solution

The fourth proportional to 378,086.42, 521,758.31 and 208,320.54 is: 287,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,086.42 : 521,758.31 = 208,320.54 : x
  2. Step 2: Convert to fraction form
    378,086.42/521,758.31 = 208,320.54/x
  3. Step 3: Cross multiply
    378,086.42x = 521,758.31 × 208,320.54
  4. Step 4: Simplify right side
    378,086.42x = 108,692,971,847.09
  5. Step 5: Solve for x
    x = 108,692,971,847.09/378,086.42
  6. Step 6: Final answer
    x = 287,481.82

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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.