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Finding the Fourth Proportional to 225,375.50, 311,006.36 and 123,381.42

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Solution

The fourth proportional to 225,375.50, 311,006.36 and 123,381.42 is: 170,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,375.50 : 311,006.36 = 123,381.42 : x
  2. Step 2: Convert to fraction form
    225,375.50/311,006.36 = 123,381.42/x
  3. Step 3: Cross multiply
    225,375.50x = 311,006.36 × 123,381.42
  4. Step 4: Simplify right side
    225,375.50x = 38,372,405,708.92
  5. Step 5: Solve for x
    x = 38,372,405,708.92/225,375.50
  6. Step 6: Final answer
    x = 170,259.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.