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Finding the Fourth Proportional to 397,383.96, 548,117.10 and 331,791.96

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Solution

The fourth proportional to 397,383.96, 548,117.10 and 331,791.96 is: 457,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,383.96 : 548,117.10 = 331,791.96 : x
  2. Step 2: Convert to fraction form
    397,383.96/548,117.10 = 331,791.96/x
  3. Step 3: Cross multiply
    397,383.96x = 548,117.10 × 331,791.96
  4. Step 4: Simplify right side
    397,383.96x = 181,860,846,918.52
  5. Step 5: Solve for x
    x = 181,860,846,918.52/397,383.96
  6. Step 6: Final answer
    x = 457,645.16

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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.