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Finding the Fourth Proportional to 321,476.92, 443,663.22 and 178,264.87

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Solution

The fourth proportional to 321,476.92, 443,663.22 and 178,264.87 is: 246,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,476.92 : 443,663.22 = 178,264.87 : x
  2. Step 2: Convert to fraction form
    321,476.92/443,663.22 = 178,264.87/x
  3. Step 3: Cross multiply
    321,476.92x = 443,663.22 × 178,264.87
  4. Step 4: Simplify right side
    321,476.92x = 79,089,565,796.42
  5. Step 5: Solve for x
    x = 79,089,565,796.42/321,476.92
  6. Step 6: Final answer
    x = 246,019.42

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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.