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Finding the Fourth Proportional to 321,283.68, 443,366.28 and 178,043.28

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Solution

The fourth proportional to 321,283.68, 443,366.28 and 178,043.28 is: 245,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,283.68 : 443,366.28 = 178,043.28 : x
  2. Step 2: Convert to fraction form
    321,283.68/443,366.28 = 178,043.28/x
  3. Step 3: Cross multiply
    321,283.68x = 443,366.28 × 178,043.28
  4. Step 4: Simplify right side
    321,283.68x = 78,938,386,732.60
  5. Step 5: Solve for x
    x = 78,938,386,732.60/321,283.68
  6. Step 6: Final answer
    x = 245,696.85

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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.