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Finding the Fourth Proportional to 218,153.70, 327,230.82 and 188,481.78

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Solution

The fourth proportional to 218,153.70, 327,230.82 and 188,481.78 is: 282,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,153.70 : 327,230.82 = 188,481.78 : x
  2. Step 2: Convert to fraction form
    218,153.70/327,230.82 = 188,481.78/x
  3. Step 3: Cross multiply
    218,153.70x = 327,230.82 × 188,481.78
  4. Step 4: Simplify right side
    218,153.70x = 61,677,047,424.46
  5. Step 5: Solve for x
    x = 61,677,047,424.46/218,153.70
  6. Step 6: Final answer
    x = 282,722.90

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1.5x scale

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.