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Finding the Fourth Proportional to 396,388.80, 594,145.80 and 219,023.10

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Solution

The fourth proportional to 396,388.80, 594,145.80 and 219,023.10 is: 328,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,388.80 : 594,145.80 = 219,023.10 : x
  2. Step 2: Convert to fraction form
    396,388.80/594,145.80 = 219,023.10/x
  3. Step 3: Cross multiply
    396,388.80x = 594,145.80 × 219,023.10
  4. Step 4: Simplify right side
    396,388.80x = 130,131,654,967.98
  5. Step 5: Solve for x
    x = 130,131,654,967.98/396,388.80
  6. Step 6: Final answer
    x = 328,292.97

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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.