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Finding the Fourth Proportional to 378,165.38, 521,879.15 and 208,410.44

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Solution

The fourth proportional to 378,165.38, 521,879.15 and 208,410.44 is: 287,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,165.38 : 521,879.15 = 208,410.44 : x
  2. Step 2: Convert to fraction form
    378,165.38/521,879.15 = 208,410.44/x
  3. Step 3: Cross multiply
    378,165.38x = 521,879.15 × 208,410.44
  4. Step 4: Simplify right side
    378,165.38x = 108,765,061,189.96
  5. Step 5: Solve for x
    x = 108,765,061,189.96/378,165.38
  6. Step 6: Final answer
    x = 287,612.43

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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.