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Finding the Fourth Proportional to 512,209.20, 768,313.80 and 216,682.80

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Solution

The fourth proportional to 512,209.20, 768,313.80 and 216,682.80 is: 325,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,209.20 : 768,313.80 = 216,682.80 : x
  2. Step 2: Convert to fraction form
    512,209.20/768,313.80 = 216,682.80/x
  3. Step 3: Cross multiply
    512,209.20x = 768,313.80 × 216,682.80
  4. Step 4: Simplify right side
    512,209.20x = 166,480,385,462.64
  5. Step 5: Solve for x
    x = 166,480,385,462.64/512,209.20
  6. Step 6: Final answer
    x = 325,024.20

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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.