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Finding the Fourth Proportional to 408,814.80, 613,222.20 and 320,144.10

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Solution

The fourth proportional to 408,814.80, 613,222.20 and 320,144.10 is: 480,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,814.80 : 613,222.20 = 320,144.10 : x
  2. Step 2: Convert to fraction form
    408,814.80/613,222.20 = 320,144.10/x
  3. Step 3: Cross multiply
    408,814.80x = 613,222.20 × 320,144.10
  4. Step 4: Simplify right side
    408,814.80x = 196,319,469,319.02
  5. Step 5: Solve for x
    x = 196,319,469,319.02/408,814.80
  6. Step 6: Final answer
    x = 480,216.15

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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.