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Finding the Fourth Proportional to 331,234.20, 496,851.30 and 81,916.20

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Solution

The fourth proportional to 331,234.20, 496,851.30 and 81,916.20 is: 122,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,234.20 : 496,851.30 = 81,916.20 : x
  2. Step 2: Convert to fraction form
    331,234.20/496,851.30 = 81,916.20/x
  3. Step 3: Cross multiply
    331,234.20x = 496,851.30 × 81,916.20
  4. Step 4: Simplify right side
    331,234.20x = 40,700,170,461.06
  5. Step 5: Solve for x
    x = 40,700,170,461.06/331,234.20
  6. Step 6: Final answer
    x = 122,874.30

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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.