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Finding the Fourth Proportional to 321,493.04, 443,638.68 and 185,532.64

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Solution

The fourth proportional to 321,493.04, 443,638.68 and 185,532.64 is: 256,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,493.04 : 443,638.68 = 185,532.64 : x
  2. Step 2: Convert to fraction form
    321,493.04/443,638.68 = 185,532.64/x
  3. Step 3: Cross multiply
    321,493.04x = 443,638.68 × 185,532.64
  4. Step 4: Simplify right side
    321,493.04x = 82,309,455,506.52
  5. Step 5: Solve for x
    x = 82,309,455,506.52/321,493.04
  6. Step 6: Final answer
    x = 256,022.51

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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.