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Finding the Fourth Proportional to 321,104.49, 443,138.78 and 177,864.51

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Solution

The fourth proportional to 321,104.49, 443,138.78 and 177,864.51 is: 245,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,104.49 : 443,138.78 = 177,864.51 : x
  2. Step 2: Convert to fraction form
    321,104.49/443,138.78 = 177,864.51/x
  3. Step 3: Cross multiply
    321,104.49x = 443,138.78 × 177,864.51
  4. Step 4: Simplify right side
    321,104.49x = 78,818,661,966.70
  5. Step 5: Solve for x
    x = 78,818,661,966.70/321,104.49
  6. Step 6: Final answer
    x = 245,461.10

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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.