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Finding the Fourth Proportional to 378,159.54, 521,853.46 and 206,079.02

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Solution

The fourth proportional to 378,159.54, 521,853.46 and 206,079.02 is: 284,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,159.54 : 521,853.46 = 206,079.02 : x
  2. Step 2: Convert to fraction form
    378,159.54/521,853.46 = 206,079.02/x
  3. Step 3: Cross multiply
    378,159.54x = 521,853.46 × 206,079.02
  4. Step 4: Simplify right side
    378,159.54x = 107,543,049,620.41
  5. Step 5: Solve for x
    x = 107,543,049,620.41/378,159.54
  6. Step 6: Final answer
    x = 284,385.39

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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.