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Finding the Fourth Proportional to 303,997, 455,997.12 and 82,381

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Solution

The fourth proportional to 303,997, 455,997.12 and 82,381 is: 123,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,997 : 455,997.12 = 82,381 : x
  2. Step 2: Convert to fraction form
    303,997/455,997.12 = 82,381/x
  3. Step 3: Cross multiply
    303,997x = 455,997.12 × 82,381
  4. Step 4: Simplify right side
    303,997x = 37,565,498,742.72
  5. Step 5: Solve for x
    x = 37,565,498,742.72/303,997
  6. Step 6: Final answer
    x = 123,571.94

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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.