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Finding the Fourth Proportional to 443,198.81, 664,742.74 and 123,374.67

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Solution

The fourth proportional to 443,198.81, 664,742.74 and 123,374.67 is: 185,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,198.81 : 664,742.74 = 123,374.67 : x
  2. Step 2: Convert to fraction form
    443,198.81/664,742.74 = 123,374.67/x
  3. Step 3: Cross multiply
    443,198.81x = 664,742.74 × 123,374.67
  4. Step 4: Simplify right side
    443,198.81x = 82,012,412,858.68
  5. Step 5: Solve for x
    x = 82,012,412,858.68/443,198.81
  6. Step 6: Final answer
    x = 185,046.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.