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Finding the Fourth Proportional to 331,317, 496,980.36 and 81,999

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Solution

The fourth proportional to 331,317, 496,980.36 and 81,999 is: 122,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,317 : 496,980.36 = 81,999 : x
  2. Step 2: Convert to fraction form
    331,317/496,980.36 = 81,999/x
  3. Step 3: Cross multiply
    331,317x = 496,980.36 × 81,999
  4. Step 4: Simplify right side
    331,317x = 40,751,892,539.64
  5. Step 5: Solve for x
    x = 40,751,892,539.64/331,317
  6. Step 6: Final answer
    x = 122,999.70

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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.