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Finding the Fourth Proportional to 378,197.72, 521,910.26 and 208,431.96

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Solution

The fourth proportional to 378,197.72, 521,910.26 and 208,431.96 is: 287,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,197.72 : 521,910.26 = 208,431.96 : x
  2. Step 2: Convert to fraction form
    378,197.72/521,910.26 = 208,431.96/x
  3. Step 3: Cross multiply
    378,197.72x = 521,910.26 × 208,431.96
  4. Step 4: Simplify right side
    378,197.72x = 108,782,778,435.91
  5. Step 5: Solve for x
    x = 108,782,778,435.91/378,197.72
  6. Step 6: Final answer
    x = 287,634.68

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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.