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Finding the Fourth Proportional to 321,978.28, 444,321.30 and 178,734.64

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Solution

The fourth proportional to 321,978.28, 444,321.30 and 178,734.64 is: 246,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,978.28 : 444,321.30 = 178,734.64 : x
  2. Step 2: Convert to fraction form
    321,978.28/444,321.30 = 178,734.64/x
  3. Step 3: Cross multiply
    321,978.28x = 444,321.30 × 178,734.64
  4. Step 4: Simplify right side
    321,978.28x = 79,415,607,599.83
  5. Step 5: Solve for x
    x = 79,415,607,599.83/321,978.28
  6. Step 6: Final answer
    x = 246,648.96

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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.