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Finding the Fourth Proportional to 323,770, 485,538.34 and 136,796.08

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Solution

The fourth proportional to 323,770, 485,538.34 and 136,796.08 is: 205,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,770 : 485,538.34 = 136,796.08 : x
  2. Step 2: Convert to fraction form
    323,770/485,538.34 = 136,796.08/x
  3. Step 3: Cross multiply
    323,770x = 485,538.34 × 136,796.08
  4. Step 4: Simplify right side
    323,770x = 66,419,741,601.71
  5. Step 5: Solve for x
    x = 66,419,741,601.71/323,770
  6. Step 6: Final answer
    x = 205,144.83

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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.