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Finding the Fourth Proportional to 396,774, 595,164.24 and 147,456

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Solution

The fourth proportional to 396,774, 595,164.24 and 147,456 is: 221,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,774 : 595,164.24 = 147,456 : x
  2. Step 2: Convert to fraction form
    396,774/595,164.24 = 147,456/x
  3. Step 3: Cross multiply
    396,774x = 595,164.24 × 147,456
  4. Step 4: Simplify right side
    396,774x = 87,760,538,173.44
  5. Step 5: Solve for x
    x = 87,760,538,173.44/396,774
  6. Step 6: Final answer
    x = 221,185.20

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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.