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Finding the Fourth Proportional to 396,140.70, 594,081.45 and 146,790.30

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Solution

The fourth proportional to 396,140.70, 594,081.45 and 146,790.30 is: 220,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,140.70 : 594,081.45 = 146,790.30 : x
  2. Step 2: Convert to fraction form
    396,140.70/594,081.45 = 146,790.30/x
  3. Step 3: Cross multiply
    396,140.70x = 594,081.45 × 146,790.30
  4. Step 4: Simplify right side
    396,140.70x = 87,205,394,269.94
  5. Step 5: Solve for x
    x = 87,205,394,269.94/396,140.70
  6. Step 6: Final answer
    x = 220,137.43

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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.