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Finding the Fourth Proportional to 664,672.80, 996,328.80 and 327,194.40

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Solution

The fourth proportional to 664,672.80, 996,328.80 and 327,194.40 is: 490,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,672.80 : 996,328.80 = 327,194.40 : x
  2. Step 2: Convert to fraction form
    664,672.80/996,328.80 = 327,194.40/x
  3. Step 3: Cross multiply
    664,672.80x = 996,328.80 × 327,194.40
  4. Step 4: Simplify right side
    664,672.80x = 325,993,203,918.72
  5. Step 5: Solve for x
    x = 325,993,203,918.72/664,672.80
  6. Step 6: Final answer
    x = 490,456.66

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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.