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Finding the Fourth Proportional to 327,755.21, 491,630.08 and 91,097.21

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Solution

The fourth proportional to 327,755.21, 491,630.08 and 91,097.21 is: 136,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,755.21 : 491,630.08 = 91,097.21 : x
  2. Step 2: Convert to fraction form
    327,755.21/491,630.08 = 91,097.21/x
  3. Step 3: Cross multiply
    327,755.21x = 491,630.08 × 91,097.21
  4. Step 4: Simplify right side
    327,755.21x = 44,786,127,303.01
  5. Step 5: Solve for x
    x = 44,786,127,303.01/327,755.21
  6. Step 6: Final answer
    x = 136,645.05

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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.