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Finding the Fourth Proportional to 331,339.75, 497,009.63 and 82,021.75

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Solution

The fourth proportional to 331,339.75, 497,009.63 and 82,021.75 is: 123,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,339.75 : 497,009.63 = 82,021.75 : x
  2. Step 2: Convert to fraction form
    331,339.75/497,009.63 = 82,021.75/x
  3. Step 3: Cross multiply
    331,339.75x = 497,009.63 × 82,021.75
  4. Step 4: Simplify right side
    331,339.75x = 40,765,599,619.45
  5. Step 5: Solve for x
    x = 40,765,599,619.45/331,339.75
  6. Step 6: Final answer
    x = 123,032.63

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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.