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Finding the Fourth Proportional to 396,379.74, 594,548.36 and 140,194.56

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Solution

The fourth proportional to 396,379.74, 594,548.36 and 140,194.56 is: 210,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,379.74 : 594,548.36 = 140,194.56 : x
  2. Step 2: Convert to fraction form
    396,379.74/594,548.36 = 140,194.56/x
  3. Step 3: Cross multiply
    396,379.74x = 594,548.36 × 140,194.56
  4. Step 4: Simplify right side
    396,379.74x = 83,352,445,728.92
  5. Step 5: Solve for x
    x = 83,352,445,728.92/396,379.74
  6. Step 6: Final answer
    x = 210,284.32

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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.