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Finding the Fourth Proportional to 298,194.70, 447,138.82 and 87,805.30

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Solution

The fourth proportional to 298,194.70, 447,138.82 and 87,805.30 is: 131,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,194.70 : 447,138.82 = 87,805.30 : x
  2. Step 2: Convert to fraction form
    298,194.70/447,138.82 = 87,805.30/x
  3. Step 3: Cross multiply
    298,194.70x = 447,138.82 × 87,805.30
  4. Step 4: Simplify right side
    298,194.70x = 39,261,158,231.75
  5. Step 5: Solve for x
    x = 39,261,158,231.75/298,194.70
  6. Step 6: Final answer
    x = 131,662.83

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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.