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Finding the Fourth Proportional to 363,369.80, 545,378.70 and 213,422.60

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Solution

The fourth proportional to 363,369.80, 545,378.70 and 213,422.60 is: 320,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,369.80 : 545,378.70 = 213,422.60 : x
  2. Step 2: Convert to fraction form
    363,369.80/545,378.70 = 213,422.60/x
  3. Step 3: Cross multiply
    363,369.80x = 545,378.70 × 213,422.60
  4. Step 4: Simplify right side
    363,369.80x = 116,396,140,138.62
  5. Step 5: Solve for x
    x = 116,396,140,138.62/363,369.80
  6. Step 6: Final answer
    x = 320,324.20

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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.