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Finding the Fourth Proportional to 378,872.96, 568,007.64 and 218,767.37

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Solution

The fourth proportional to 378,872.96, 568,007.64 and 218,767.37 is: 327,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,872.96 : 568,007.64 = 218,767.37 : x
  2. Step 2: Convert to fraction form
    378,872.96/568,007.64 = 218,767.37/x
  3. Step 3: Cross multiply
    378,872.96x = 568,007.64 × 218,767.37
  4. Step 4: Simplify right side
    378,872.96x = 124,261,534,702.67
  5. Step 5: Solve for x
    x = 124,261,534,702.67/378,872.96
  6. Step 6: Final answer
    x = 327,976.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.