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Finding the Fourth Proportional to 221,814.70, 332,138.85 and 162,328.30

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Solution

The fourth proportional to 221,814.70, 332,138.85 and 162,328.30 is: 243,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,814.70 : 332,138.85 = 162,328.30 : x
  2. Step 2: Convert to fraction form
    221,814.70/332,138.85 = 162,328.30/x
  3. Step 3: Cross multiply
    221,814.70x = 332,138.85 × 162,328.30
  4. Step 4: Simplify right side
    221,814.70x = 53,915,534,884.46
  5. Step 5: Solve for x
    x = 53,915,534,884.46/221,814.70
  6. Step 6: Final answer
    x = 243,065.65

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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.