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Finding the Fourth Proportional to 305,144.44, 457,735.69 and 80,505.09

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Solution

The fourth proportional to 305,144.44, 457,735.69 and 80,505.09 is: 120,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,144.44 : 457,735.69 = 80,505.09 : x
  2. Step 2: Convert to fraction form
    305,144.44/457,735.69 = 80,505.09/x
  3. Step 3: Cross multiply
    305,144.44x = 457,735.69 × 80,505.09
  4. Step 4: Simplify right side
    305,144.44x = 36,850,052,919.66
  5. Step 5: Solve for x
    x = 36,850,052,919.66/305,144.44
  6. Step 6: Final answer
    x = 120,762.66

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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.