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Finding the Fourth Proportional to 327,555.78, 491,339.73 and 102,912

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Solution

The fourth proportional to 327,555.78, 491,339.73 and 102,912 is: 154,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,555.78 : 491,339.73 = 102,912 : x
  2. Step 2: Convert to fraction form
    327,555.78/491,339.73 = 102,912/x
  3. Step 3: Cross multiply
    327,555.78x = 491,339.73 × 102,912
  4. Step 4: Simplify right side
    327,555.78x = 50,564,754,293.76
  5. Step 5: Solve for x
    x = 50,564,754,293.76/327,555.78
  6. Step 6: Final answer
    x = 154,369.90

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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.