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Finding the Fourth Proportional to 512,144.20, 768,216.30 and 512,144.20

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Solution

The fourth proportional to 512,144.20, 768,216.30 and 512,144.20 is: 768,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,144.20 : 768,216.30 = 512,144.20 : x
  2. Step 2: Convert to fraction form
    512,144.20/768,216.30 = 512,144.20/x
  3. Step 3: Cross multiply
    512,144.20x = 768,216.30 × 512,144.20
  4. Step 4: Simplify right side
    512,144.20x = 393,437,522,390.46
  5. Step 5: Solve for x
    x = 393,437,522,390.46/512,144.20
  6. Step 6: Final answer
    x = 768,216.30

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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.