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Finding the Fourth Proportional to 512,200.80, 768,738.60 and 228,328.20

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Solution

The fourth proportional to 512,200.80, 768,738.60 and 228,328.20 is: 342,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,200.80 : 768,738.60 = 228,328.20 : x
  2. Step 2: Convert to fraction form
    512,200.80/768,738.60 = 228,328.20/x
  3. Step 3: Cross multiply
    512,200.80x = 768,738.60 × 228,328.20
  4. Step 4: Simplify right side
    512,200.80x = 175,524,700,808.52
  5. Step 5: Solve for x
    x = 175,524,700,808.52/512,200.80
  6. Step 6: Final answer
    x = 342,687.28

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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.