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Finding the Fourth Proportional to 321,043, 443,040.82 and 177,800.04

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Solution

The fourth proportional to 321,043, 443,040.82 and 177,800.04 is: 245,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,043 : 443,040.82 = 177,800.04 : x
  2. Step 2: Convert to fraction form
    321,043/443,040.82 = 177,800.04/x
  3. Step 3: Cross multiply
    321,043x = 443,040.82 × 177,800.04
  4. Step 4: Simplify right side
    321,043x = 78,772,675,517.63
  5. Step 5: Solve for x
    x = 78,772,675,517.63/321,043
  6. Step 6: Final answer
    x = 245,364.87

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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.