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Finding the Fourth Proportional to 321,805.44, 444,090.05 and 178,565.17

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Solution

The fourth proportional to 321,805.44, 444,090.05 and 178,565.17 is: 246,419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,805.44 : 444,090.05 = 178,565.17 : x
  2. Step 2: Convert to fraction form
    321,805.44/444,090.05 = 178,565.17/x
  3. Step 3: Cross multiply
    321,805.44x = 444,090.05 × 178,565.17
  4. Step 4: Simplify right side
    321,805.44x = 79,299,014,380.73
  5. Step 5: Solve for x
    x = 79,299,014,380.73/321,805.44
  6. Step 6: Final answer
    x = 246,419.13

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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.