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Finding the Fourth Proportional to 321,978.94, 444,308.64 and 178,727.70

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Solution

The fourth proportional to 321,978.94, 444,308.64 and 178,727.70 is: 246,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,978.94 : 444,308.64 = 178,727.70 : x
  2. Step 2: Convert to fraction form
    321,978.94/444,308.64 = 178,727.70/x
  3. Step 3: Cross multiply
    321,978.94x = 444,308.64 × 178,727.70
  4. Step 4: Simplify right side
    321,978.94x = 79,410,261,317.33
  5. Step 5: Solve for x
    x = 79,410,261,317.33/321,978.94
  6. Step 6: Final answer
    x = 246,631.85

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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.