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Finding the Fourth Proportional to 331,339.50, 497,009.25 and 82,021.50

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Solution

The fourth proportional to 331,339.50, 497,009.25 and 82,021.50 is: 123,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,339.50 : 497,009.25 = 82,021.50 : x
  2. Step 2: Convert to fraction form
    331,339.50/497,009.25 = 82,021.50/x
  3. Step 3: Cross multiply
    331,339.50x = 497,009.25 × 82,021.50
  4. Step 4: Simplify right side
    331,339.50x = 40,765,444,198.88
  5. Step 5: Solve for x
    x = 40,765,444,198.88/331,339.50
  6. Step 6: Final answer
    x = 123,032.25

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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.