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Finding the Fourth Proportional to 378,250.83, 521,817.80 and 217,067.31

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Solution

The fourth proportional to 378,250.83, 521,817.80 and 217,067.31 is: 299,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,250.83 : 521,817.80 = 217,067.31 : x
  2. Step 2: Convert to fraction form
    378,250.83/521,817.80 = 217,067.31/x
  3. Step 3: Cross multiply
    378,250.83x = 521,817.80 × 217,067.31
  4. Step 4: Simplify right side
    378,250.83x = 113,269,585,070.78
  5. Step 5: Solve for x
    x = 113,269,585,070.78/378,250.83
  6. Step 6: Final answer
    x = 299,456.28

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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.