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Finding the Fourth Proportional to 331,208.80, 496,813.20 and 81,890.80

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Solution

The fourth proportional to 331,208.80, 496,813.20 and 81,890.80 is: 122,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,208.80 : 496,813.20 = 81,890.80 : x
  2. Step 2: Convert to fraction form
    331,208.80/496,813.20 = 81,890.80/x
  3. Step 3: Cross multiply
    331,208.80x = 496,813.20 × 81,890.80
  4. Step 4: Simplify right side
    331,208.80x = 40,684,430,398.56
  5. Step 5: Solve for x
    x = 40,684,430,398.56/331,208.80
  6. Step 6: Final answer
    x = 122,836.20

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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.