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Finding the Fourth Proportional to 397,756, 596,633.99 and 327,487.69

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Solution

The fourth proportional to 397,756, 596,633.99 and 327,487.69 is: 491,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,756 : 596,633.99 = 327,487.69 : x
  2. Step 2: Convert to fraction form
    397,756/596,633.99 = 327,487.69/x
  3. Step 3: Cross multiply
    397,756x = 596,633.99 × 327,487.69
  4. Step 4: Simplify right side
    397,756x = 195,390,287,160.58
  5. Step 5: Solve for x
    x = 195,390,287,160.58/397,756
  6. Step 6: Final answer
    x = 491,231.53

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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.