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Finding the Fourth Proportional to 331,479, 497,218.50 and 109,863

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Solution

The fourth proportional to 331,479, 497,218.50 and 109,863 is: 164,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,479 : 497,218.50 = 109,863 : x
  2. Step 2: Convert to fraction form
    331,479/497,218.50 = 109,863/x
  3. Step 3: Cross multiply
    331,479x = 497,218.50 × 109,863
  4. Step 4: Simplify right side
    331,479x = 54,625,916,065.50
  5. Step 5: Solve for x
    x = 54,625,916,065.50/331,479
  6. Step 6: Final answer
    x = 164,794.50

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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.