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Finding the Fourth Proportional to 396,489.83, 594,796.91 and 130,189.77

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Solution

The fourth proportional to 396,489.83, 594,796.91 and 130,189.77 is: 195,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,489.83 : 594,796.91 = 130,189.77 : x
  2. Step 2: Convert to fraction form
    396,489.83/594,796.91 = 130,189.77/x
  3. Step 3: Cross multiply
    396,489.83x = 594,796.91 × 130,189.77
  4. Step 4: Simplify right side
    396,489.83x = 77,436,472,258.66
  5. Step 5: Solve for x
    x = 77,436,472,258.66/396,489.83
  6. Step 6: Final answer
    x = 195,305.07

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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.