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Finding the Fourth Proportional to 512,125.20, 768,533.40 and 334,198.80

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Solution

The fourth proportional to 512,125.20, 768,533.40 and 334,198.80 is: 501,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,125.20 : 768,533.40 = 334,198.80 : x
  2. Step 2: Convert to fraction form
    512,125.20/768,533.40 = 334,198.80/x
  3. Step 3: Cross multiply
    512,125.20x = 768,533.40 × 334,198.80
  4. Step 4: Simplify right side
    512,125.20x = 256,842,940,039.92
  5. Step 5: Solve for x
    x = 256,842,940,039.92/512,125.20
  6. Step 6: Final answer
    x = 501,523.73

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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.