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Finding the Fourth Proportional to 321,262.74, 443,331.43 and 178,036.11

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Solution

The fourth proportional to 321,262.74, 443,331.43 and 178,036.11 is: 245,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,262.74 : 443,331.43 = 178,036.11 : x
  2. Step 2: Convert to fraction form
    321,262.74/443,331.43 = 178,036.11/x
  3. Step 3: Cross multiply
    321,262.74x = 443,331.43 × 178,036.11
  4. Step 4: Simplify right side
    321,262.74x = 78,929,002,792.85
  5. Step 5: Solve for x
    x = 78,929,002,792.85/321,262.74
  6. Step 6: Final answer
    x = 245,683.65

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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.