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Finding the Fourth Proportional to 331,829.31, 497,745.79 and 82,511.31

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Solution

The fourth proportional to 331,829.31, 497,745.79 and 82,511.31 is: 123,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,829.31 : 497,745.79 = 82,511.31 : x
  2. Step 2: Convert to fraction form
    331,829.31/497,745.79 = 82,511.31/x
  3. Step 3: Cross multiply
    331,829.31x = 497,745.79 × 82,511.31
  4. Step 4: Simplify right side
    331,829.31x = 41,069,657,179.88
  5. Step 5: Solve for x
    x = 41,069,657,179.88/331,829.31
  6. Step 6: Final answer
    x = 123,767.42

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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.