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Finding the Fourth Proportional to 378,279.84, 522,026.24 and 208,517.68

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Solution

The fourth proportional to 378,279.84, 522,026.24 and 208,517.68 is: 287,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,279.84 : 522,026.24 = 208,517.68 : x
  2. Step 2: Convert to fraction form
    378,279.84/522,026.24 = 208,517.68/x
  3. Step 3: Cross multiply
    378,279.84x = 522,026.24 × 208,517.68
  4. Step 4: Simplify right side
    378,279.84x = 108,851,700,463.92
  5. Step 5: Solve for x
    x = 108,851,700,463.92/378,279.84
  6. Step 6: Final answer
    x = 287,754.43

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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.