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Finding the Fourth Proportional to 512,101.20, 768,151.80 and 323,144.40

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Solution

The fourth proportional to 512,101.20, 768,151.80 and 323,144.40 is: 484,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,101.20 : 768,151.80 = 323,144.40 : x
  2. Step 2: Convert to fraction form
    512,101.20/768,151.80 = 323,144.40/x
  3. Step 3: Cross multiply
    512,101.20x = 768,151.80 × 323,144.40
  4. Step 4: Simplify right side
    512,101.20x = 248,223,952,519.92
  5. Step 5: Solve for x
    x = 248,223,952,519.92/512,101.20
  6. Step 6: Final answer
    x = 484,716.60

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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.