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Finding the Fourth Proportional to 213,500.97, 320,004.90 and 80,296.20

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Solution

The fourth proportional to 213,500.97, 320,004.90 and 80,296.20 is: 120,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,500.97 : 320,004.90 = 80,296.20 : x
  2. Step 2: Convert to fraction form
    213,500.97/320,004.90 = 80,296.20/x
  3. Step 3: Cross multiply
    213,500.97x = 320,004.90 × 80,296.20
  4. Step 4: Simplify right side
    213,500.97x = 25,695,177,451.38
  5. Step 5: Solve for x
    x = 25,695,177,451.38/213,500.97
  6. Step 6: Final answer
    x = 120,351.57

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1.5x scale

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.