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Finding the Fourth Proportional to 300,205.80, 450,269.82 and 113,193

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Solution

The fourth proportional to 300,205.80, 450,269.82 and 113,193 is: 169,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,205.80 : 450,269.82 = 113,193 : x
  2. Step 2: Convert to fraction form
    300,205.80/450,269.82 = 113,193/x
  3. Step 3: Cross multiply
    300,205.80x = 450,269.82 × 113,193
  4. Step 4: Simplify right side
    300,205.80x = 50,967,391,735.26
  5. Step 5: Solve for x
    x = 50,967,391,735.26/300,205.80
  6. Step 6: Final answer
    x = 169,774.84

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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.