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Finding the Fourth Proportional to 512,584.20, 768,876.30 and 212,965.20

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Solution

The fourth proportional to 512,584.20, 768,876.30 and 212,965.20 is: 319,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,584.20 : 768,876.30 = 212,965.20 : x
  2. Step 2: Convert to fraction form
    512,584.20/768,876.30 = 212,965.20/x
  3. Step 3: Cross multiply
    512,584.20x = 768,876.30 × 212,965.20
  4. Step 4: Simplify right side
    512,584.20x = 163,743,895,004.76
  5. Step 5: Solve for x
    x = 163,743,895,004.76/512,584.20
  6. Step 6: Final answer
    x = 319,447.80

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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.