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Finding the Fourth Proportional to 321,910.78, 444,233.64 and 178,667.14

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Solution

The fourth proportional to 321,910.78, 444,233.64 and 178,667.14 is: 246,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,910.78 : 444,233.64 = 178,667.14 : x
  2. Step 2: Convert to fraction form
    321,910.78/444,233.64 = 178,667.14/x
  3. Step 3: Cross multiply
    321,910.78x = 444,233.64 × 178,667.14
  4. Step 4: Simplify right side
    321,910.78x = 79,369,953,950.59
  5. Step 5: Solve for x
    x = 79,369,953,950.59/321,910.78
  6. Step 6: Final answer
    x = 246,558.86

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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.