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Finding the Fourth Proportional to 396,638.74, 594,367.26 and 219,196.42

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Solution

The fourth proportional to 396,638.74, 594,367.26 and 219,196.42 is: 328,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,638.74 : 594,367.26 = 219,196.42 : x
  2. Step 2: Convert to fraction form
    396,638.74/594,367.26 = 219,196.42/x
  3. Step 3: Cross multiply
    396,638.74x = 594,367.26 × 219,196.42
  4. Step 4: Simplify right side
    396,638.74x = 130,283,175,557.21
  5. Step 5: Solve for x
    x = 130,283,175,557.21/396,638.74
  6. Step 6: Final answer
    x = 328,468.11

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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.