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Finding the Fourth Proportional to 219,563.28, 329,785.80 and 130,989.84

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Solution

The fourth proportional to 219,563.28, 329,785.80 and 130,989.84 is: 196,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,563.28 : 329,785.80 = 130,989.84 : x
  2. Step 2: Convert to fraction form
    219,563.28/329,785.80 = 130,989.84/x
  3. Step 3: Cross multiply
    219,563.28x = 329,785.80 × 130,989.84
  4. Step 4: Simplify right side
    219,563.28x = 43,198,589,176.27
  5. Step 5: Solve for x
    x = 43,198,589,176.27/219,563.28
  6. Step 6: Final answer
    x = 196,747.79

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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.