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Finding the Fourth Proportional to 378,056.64, 521,716.59 and 205,974.12

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Solution

The fourth proportional to 378,056.64, 521,716.59 and 205,974.12 is: 284,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,056.64 : 521,716.59 = 205,974.12 : x
  2. Step 2: Convert to fraction form
    378,056.64/521,716.59 = 205,974.12/x
  3. Step 3: Cross multiply
    378,056.64x = 521,716.59 × 205,974.12
  4. Step 4: Simplify right side
    378,056.64x = 107,460,115,514.65
  5. Step 5: Solve for x
    x = 107,460,115,514.65/378,056.64
  6. Step 6: Final answer
    x = 284,243.43

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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.