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Finding the Fourth Proportional to 396,327.60, 594,491.40 and 130,023.90

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Solution

The fourth proportional to 396,327.60, 594,491.40 and 130,023.90 is: 195,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,327.60 : 594,491.40 = 130,023.90 : x
  2. Step 2: Convert to fraction form
    396,327.60/594,491.40 = 130,023.90/x
  3. Step 3: Cross multiply
    396,327.60x = 594,491.40 × 130,023.90
  4. Step 4: Simplify right side
    396,327.60x = 77,298,090,344.46
  5. Step 5: Solve for x
    x = 77,298,090,344.46/396,327.60
  6. Step 6: Final answer
    x = 195,035.85

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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.