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Finding the Fourth Proportional to 321,140.43, 443,200.80 and 177,913.80

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Solution

The fourth proportional to 321,140.43, 443,200.80 and 177,913.80 is: 245,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,140.43 : 443,200.80 = 177,913.80 : x
  2. Step 2: Convert to fraction form
    321,140.43/443,200.80 = 177,913.80/x
  3. Step 3: Cross multiply
    321,140.43x = 443,200.80 × 177,913.80
  4. Step 4: Simplify right side
    321,140.43x = 78,851,538,491.04
  5. Step 5: Solve for x
    x = 78,851,538,491.04/321,140.43
  6. Step 6: Final answer
    x = 245,536.01

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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.