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Finding the Fourth Proportional to 378,121.50, 521,818.65 and 208,366.56

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Solution

The fourth proportional to 378,121.50, 521,818.65 and 208,366.56 is: 287,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,121.50 : 521,818.65 = 208,366.56 : x
  2. Step 2: Convert to fraction form
    378,121.50/521,818.65 = 208,366.56/x
  3. Step 3: Cross multiply
    378,121.50x = 521,818.65 × 208,366.56
  4. Step 4: Simplify right side
    378,121.50x = 108,729,557,044.34
  5. Step 5: Solve for x
    x = 108,729,557,044.34/378,121.50
  6. Step 6: Final answer
    x = 287,551.90

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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.