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Finding the Fourth Proportional to 303,991, 455,986.56 and 82,375

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Solution

The fourth proportional to 303,991, 455,986.56 and 82,375 is: 123,562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,991 : 455,986.56 = 82,375 : x
  2. Step 2: Convert to fraction form
    303,991/455,986.56 = 82,375/x
  3. Step 3: Cross multiply
    303,991x = 455,986.56 × 82,375
  4. Step 4: Simplify right side
    303,991x = 37,561,892,880
  5. Step 5: Solve for x
    x = 37,561,892,880/303,991
  6. Step 6: Final answer
    x = 123,562.52

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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.