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Finding the Fourth Proportional to 217,824.40, 326,477.40 and 91,464.40

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Solution

The fourth proportional to 217,824.40, 326,477.40 and 91,464.40 is: 137,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,824.40 : 326,477.40 = 91,464.40 : x
  2. Step 2: Convert to fraction form
    217,824.40/326,477.40 = 91,464.40/x
  3. Step 3: Cross multiply
    217,824.40x = 326,477.40 × 91,464.40
  4. Step 4: Simplify right side
    217,824.40x = 29,861,059,504.56
  5. Step 5: Solve for x
    x = 29,861,059,504.56/217,824.40
  6. Step 6: Final answer
    x = 137,087.76

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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.