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Finding the Fourth Proportional to 303,989, 455,983.56 and 82,373

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Solution

The fourth proportional to 303,989, 455,983.56 and 82,373 is: 123,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,989 : 455,983.56 = 82,373 : x
  2. Step 2: Convert to fraction form
    303,989/455,983.56 = 82,373/x
  3. Step 3: Cross multiply
    303,989x = 455,983.56 × 82,373
  4. Step 4: Simplify right side
    303,989x = 37,560,733,787.88
  5. Step 5: Solve for x
    x = 37,560,733,787.88/303,989
  6. Step 6: Final answer
    x = 123,559.52

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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.