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Finding the Fourth Proportional to 378,143.46, 521,836.92 and 208,377.54

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Solution

The fourth proportional to 378,143.46, 521,836.92 and 208,377.54 is: 287,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,143.46 : 521,836.92 = 208,377.54 : x
  2. Step 2: Convert to fraction form
    378,143.46/521,836.92 = 208,377.54/x
  3. Step 3: Cross multiply
    378,143.46x = 521,836.92 × 208,377.54
  4. Step 4: Simplify right side
    378,143.46x = 108,739,093,670.78
  5. Step 5: Solve for x
    x = 108,739,093,670.78/378,143.46
  6. Step 6: Final answer
    x = 287,560.42

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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.