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Finding the Fourth Proportional to 217,604.24, 326,439.24 and 77,329.52

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Solution

The fourth proportional to 217,604.24, 326,439.24 and 77,329.52 is: 116,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,604.24 : 326,439.24 = 77,329.52 : x
  2. Step 2: Convert to fraction form
    217,604.24/326,439.24 = 77,329.52/x
  3. Step 3: Cross multiply
    217,604.24x = 326,439.24 × 77,329.52
  4. Step 4: Simplify right side
    217,604.24x = 25,243,389,738.36
  5. Step 5: Solve for x
    x = 25,243,389,738.36/217,604.24
  6. Step 6: Final answer
    x = 116,005.96

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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.