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Finding the Fourth Proportional to 219,912.20, 329,609.10 and 164,443.40

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Solution

The fourth proportional to 219,912.20, 329,609.10 and 164,443.40 is: 246,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,912.20 : 329,609.10 = 164,443.40 : x
  2. Step 2: Convert to fraction form
    219,912.20/329,609.10 = 164,443.40/x
  3. Step 3: Cross multiply
    219,912.20x = 329,609.10 × 164,443.40
  4. Step 4: Simplify right side
    219,912.20x = 54,202,041,074.94
  5. Step 5: Solve for x
    x = 54,202,041,074.94/219,912.20
  6. Step 6: Final answer
    x = 246,471.28

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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.