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Finding the Fourth Proportional to 305,118.73, 457,708.85 and 80,494.69

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Solution

The fourth proportional to 305,118.73, 457,708.85 and 80,494.69 is: 120,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,118.73 : 457,708.85 = 80,494.69 : x
  2. Step 2: Convert to fraction form
    305,118.73/457,708.85 = 80,494.69/x
  3. Step 3: Cross multiply
    305,118.73x = 457,708.85 × 80,494.69
  4. Step 4: Simplify right side
    305,118.73x = 36,843,131,991.01
  5. Step 5: Solve for x
    x = 36,843,131,991.01/305,118.73
  6. Step 6: Final answer
    x = 120,750.15

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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.