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Finding the Fourth Proportional to 396,380.66, 594,661.84 and 171,778.79

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Solution

The fourth proportional to 396,380.66, 594,661.84 and 171,778.79 is: 257,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,380.66 : 594,661.84 = 171,778.79 : x
  2. Step 2: Convert to fraction form
    396,380.66/594,661.84 = 171,778.79/x
  3. Step 3: Cross multiply
    396,380.66x = 594,661.84 × 171,778.79
  4. Step 4: Simplify right side
    396,380.66x = 102,150,292,391.58
  5. Step 5: Solve for x
    x = 102,150,292,391.58/396,380.66
  6. Step 6: Final answer
    x = 257,707.56

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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.