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Finding the Fourth Proportional to 321,201.84, 443,252.78 and 177,959

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Solution

The fourth proportional to 321,201.84, 443,252.78 and 177,959 is: 245,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,201.84 : 443,252.78 = 177,959 : x
  2. Step 2: Convert to fraction form
    321,201.84/443,252.78 = 177,959/x
  3. Step 3: Cross multiply
    321,201.84x = 443,252.78 × 177,959
  4. Step 4: Simplify right side
    321,201.84x = 78,880,821,476.02
  5. Step 5: Solve for x
    x = 78,880,821,476.02/321,201.84
  6. Step 6: Final answer
    x = 245,580.23

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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.