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Finding the Fourth Proportional to 396,871.29, 595,388.94 and 130,647.78

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Solution

The fourth proportional to 396,871.29, 595,388.94 and 130,647.78 is: 195,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,871.29 : 595,388.94 = 130,647.78 : x
  2. Step 2: Convert to fraction form
    396,871.29/595,388.94 = 130,647.78/x
  3. Step 3: Cross multiply
    396,871.29x = 595,388.94 × 130,647.78
  4. Step 4: Simplify right side
    396,871.29x = 77,786,243,247.55
  5. Step 5: Solve for x
    x = 77,786,243,247.55/396,871.29
  6. Step 6: Final answer
    x = 195,998.67

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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.