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Finding the Fourth Proportional to 407,213.78, 561,936.06 and 225,923.78

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Solution

The fourth proportional to 407,213.78, 561,936.06 and 225,923.78 is: 311,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,213.78 : 561,936.06 = 225,923.78 : x
  2. Step 2: Convert to fraction form
    407,213.78/561,936.06 = 225,923.78/x
  3. Step 3: Cross multiply
    407,213.78x = 561,936.06 × 225,923.78
  4. Step 4: Simplify right side
    407,213.78x = 126,954,718,793.51
  5. Step 5: Solve for x
    x = 126,954,718,793.51/407,213.78
  6. Step 6: Final answer
    x = 311,764.30

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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.