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Finding the Fourth Proportional to 378,183.96, 521,893.94 and 206,101.96

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Solution

The fourth proportional to 378,183.96, 521,893.94 and 206,101.96 is: 284,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,183.96 : 521,893.94 = 206,101.96 : x
  2. Step 2: Convert to fraction form
    378,183.96/521,893.94 = 206,101.96/x
  3. Step 3: Cross multiply
    378,183.96x = 521,893.94 × 206,101.96
  4. Step 4: Simplify right side
    378,183.96x = 107,563,361,610.88
  5. Step 5: Solve for x
    x = 107,563,361,610.88/378,183.96
  6. Step 6: Final answer
    x = 284,420.74

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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.