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Finding the Fourth Proportional to 512,573.20, 768,859.80 and 512,573.20

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Solution

The fourth proportional to 512,573.20, 768,859.80 and 512,573.20 is: 768,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,573.20 : 768,859.80 = 512,573.20 : x
  2. Step 2: Convert to fraction form
    512,573.20/768,859.80 = 512,573.20/x
  3. Step 3: Cross multiply
    512,573.20x = 768,859.80 × 512,573.20
  4. Step 4: Simplify right side
    512,573.20x = 394,096,928,037.36
  5. Step 5: Solve for x
    x = 394,096,928,037.36/512,573.20
  6. Step 6: Final answer
    x = 768,859.80

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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.