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Finding the Fourth Proportional to 378,046.14, 521,702.10 and 205,963.59

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Solution

The fourth proportional to 378,046.14, 521,702.10 and 205,963.59 is: 284,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,046.14 : 521,702.10 = 205,963.59 : x
  2. Step 2: Convert to fraction form
    378,046.14/521,702.10 = 205,963.59/x
  3. Step 3: Cross multiply
    378,046.14x = 521,702.10 × 205,963.59
  4. Step 4: Simplify right side
    378,046.14x = 107,451,639,382.92
  5. Step 5: Solve for x
    x = 107,451,639,382.92/378,046.14
  6. Step 6: Final answer
    x = 284,228.91

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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.