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Finding the Fourth Proportional to 407,014.39, 561,642.24 and 225,722.98

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Solution

The fourth proportional to 407,014.39, 561,642.24 and 225,722.98 is: 311,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,014.39 : 561,642.24 = 225,722.98 : x
  2. Step 2: Convert to fraction form
    407,014.39/561,642.24 = 225,722.98/x
  3. Step 3: Cross multiply
    407,014.39x = 561,642.24 × 225,722.98
  4. Step 4: Simplify right side
    407,014.39x = 126,775,560,106.68
  5. Step 5: Solve for x
    x = 126,775,560,106.68/407,014.39
  6. Step 6: Final answer
    x = 311,476.85

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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.