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Finding the Fourth Proportional to 331,827.75, 497,743.56 and 82,509.75

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Solution

The fourth proportional to 331,827.75, 497,743.56 and 82,509.75 is: 123,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,827.75 : 497,743.56 = 82,509.75 : x
  2. Step 2: Convert to fraction form
    331,827.75/497,743.56 = 82,509.75/x
  3. Step 3: Cross multiply
    331,827.75x = 497,743.56 × 82,509.75
  4. Step 4: Simplify right side
    331,827.75x = 41,068,696,699.71
  5. Step 5: Solve for x
    x = 41,068,696,699.71/331,827.75
  6. Step 6: Final answer
    x = 123,765.11

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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.