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Finding the Fourth Proportional to 321,686.46, 443,891.48 and 178,410.60

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Solution

The fourth proportional to 321,686.46, 443,891.48 and 178,410.60 is: 246,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,686.46 : 443,891.48 = 178,410.60 : x
  2. Step 2: Convert to fraction form
    321,686.46/443,891.48 = 178,410.60/x
  3. Step 3: Cross multiply
    321,686.46x = 443,891.48 × 178,410.60
  4. Step 4: Simplify right side
    321,686.46x = 79,194,945,281.69
  5. Step 5: Solve for x
    x = 79,194,945,281.69/321,686.46
  6. Step 6: Final answer
    x = 246,186.75

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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.