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Finding the Fourth Proportional to 463,564.80, 694,540.80 and 213,734.40

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Solution

The fourth proportional to 463,564.80, 694,540.80 and 213,734.40 is: 320,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,564.80 : 694,540.80 = 213,734.40 : x
  2. Step 2: Convert to fraction form
    463,564.80/694,540.80 = 213,734.40/x
  3. Step 3: Cross multiply
    463,564.80x = 694,540.80 × 213,734.40
  4. Step 4: Simplify right side
    463,564.80x = 148,447,261,163.52
  5. Step 5: Solve for x
    x = 148,447,261,163.52/463,564.80
  6. Step 6: Final answer
    x = 320,229.80

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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.