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Finding the Fourth Proportional to 408,843.80, 613,265.70 and 320,173.10

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Solution

The fourth proportional to 408,843.80, 613,265.70 and 320,173.10 is: 480,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,843.80 : 613,265.70 = 320,173.10 : x
  2. Step 2: Convert to fraction form
    408,843.80/613,265.70 = 320,173.10/x
  3. Step 3: Cross multiply
    408,843.80x = 613,265.70 × 320,173.10
  4. Step 4: Simplify right side
    408,843.80x = 196,351,180,292.67
  5. Step 5: Solve for x
    x = 196,351,180,292.67/408,843.80
  6. Step 6: Final answer
    x = 480,259.65

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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.