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Finding the Fourth Proportional to 396,728.70, 595,180.53 and 130,478.46

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Solution

The fourth proportional to 396,728.70, 595,180.53 and 130,478.46 is: 195,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,728.70 : 595,180.53 = 130,478.46 : x
  2. Step 2: Convert to fraction form
    396,728.70/595,180.53 = 130,478.46/x
  3. Step 3: Cross multiply
    396,728.70x = 595,180.53 × 130,478.46
  4. Step 4: Simplify right side
    396,728.70x = 77,658,238,976.38
  5. Step 5: Solve for x
    x = 77,658,238,976.38/396,728.70
  6. Step 6: Final answer
    x = 195,746.46

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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.