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Finding the Fourth Proportional to 321,918.30, 444,247.74 and 178,674.66

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Solution

The fourth proportional to 321,918.30, 444,247.74 and 178,674.66 is: 246,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,918.30 : 444,247.74 = 178,674.66 : x
  2. Step 2: Convert to fraction form
    321,918.30/444,247.74 = 178,674.66/x
  3. Step 3: Cross multiply
    321,918.30x = 444,247.74 × 178,674.66
  4. Step 4: Simplify right side
    321,918.30x = 79,375,813,900.27
  5. Step 5: Solve for x
    x = 79,375,813,900.27/321,918.30
  6. Step 6: Final answer
    x = 246,571.30

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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.