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Finding the Fourth Proportional to 327,196.95, 490,806.35 and 90,519.81

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Solution

The fourth proportional to 327,196.95, 490,806.35 and 90,519.81 is: 135,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,196.95 : 490,806.35 = 90,519.81 : x
  2. Step 2: Convert to fraction form
    327,196.95/490,806.35 = 90,519.81/x
  3. Step 3: Cross multiply
    327,196.95x = 490,806.35 × 90,519.81
  4. Step 4: Simplify right side
    327,196.95x = 44,427,697,096.19
  5. Step 5: Solve for x
    x = 44,427,697,096.19/327,196.95
  6. Step 6: Final answer
    x = 135,782.74

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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.