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Finding the Fourth Proportional to 396,738, 595,110.24 and 147,420

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Solution

The fourth proportional to 396,738, 595,110.24 and 147,420 is: 221,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,738 : 595,110.24 = 147,420 : x
  2. Step 2: Convert to fraction form
    396,738/595,110.24 = 147,420/x
  3. Step 3: Cross multiply
    396,738x = 595,110.24 × 147,420
  4. Step 4: Simplify right side
    396,738x = 87,731,151,580.80
  5. Step 5: Solve for x
    x = 87,731,151,580.80/396,738
  6. Step 6: Final answer
    x = 221,131.20

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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.