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Finding the Fourth Proportional to 327,067.68, 490,944.72 and 289,865.76

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Solution

The fourth proportional to 327,067.68, 490,944.72 and 289,865.76 is: 435,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,067.68 : 490,944.72 = 289,865.76 : x
  2. Step 2: Convert to fraction form
    327,067.68/490,944.72 = 289,865.76/x
  3. Step 3: Cross multiply
    327,067.68x = 490,944.72 × 289,865.76
  4. Step 4: Simplify right side
    327,067.68x = 142,308,064,380.79
  5. Step 5: Solve for x
    x = 142,308,064,380.79/327,067.68
  6. Step 6: Final answer
    x = 435,102.80

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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.