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Finding the Fourth Proportional to 398,647.20, 597,912.36 and 132,401.76

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Solution

The fourth proportional to 398,647.20, 597,912.36 and 132,401.76 is: 198,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,647.20 : 597,912.36 = 132,401.76 : x
  2. Step 2: Convert to fraction form
    398,647.20/597,912.36 = 132,401.76/x
  3. Step 3: Cross multiply
    398,647.20x = 597,912.36 × 132,401.76
  4. Step 4: Simplify right side
    398,647.20x = 79,164,648,789.75
  5. Step 5: Solve for x
    x = 79,164,648,789.75/398,647.20
  6. Step 6: Final answer
    x = 198,583.23

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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.