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Finding the Fourth Proportional to 321,829.92, 444,118.56 and 178,588.80

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Solution

The fourth proportional to 321,829.92, 444,118.56 and 178,588.80 is: 246,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,829.92 : 444,118.56 = 178,588.80 : x
  2. Step 2: Convert to fraction form
    321,829.92/444,118.56 = 178,588.80/x
  3. Step 3: Cross multiply
    321,829.92x = 444,118.56 × 178,588.80
  4. Step 4: Simplify right side
    321,829.92x = 79,314,600,688.13
  5. Step 5: Solve for x
    x = 79,314,600,688.13/321,829.92
  6. Step 6: Final answer
    x = 246,448.81

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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.