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Finding the Fourth Proportional to 300,778.44, 415,074.34 and 164,811.28

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Solution

The fourth proportional to 300,778.44, 415,074.34 and 164,811.28 is: 227,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,778.44 : 415,074.34 = 164,811.28 : x
  2. Step 2: Convert to fraction form
    300,778.44/415,074.34 = 164,811.28/x
  3. Step 3: Cross multiply
    300,778.44x = 415,074.34 × 164,811.28
  4. Step 4: Simplify right side
    300,778.44x = 68,408,933,270.56
  5. Step 5: Solve for x
    x = 68,408,933,270.56/300,778.44
  6. Step 6: Final answer
    x = 227,439.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.