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Finding the Fourth Proportional to 512,523.45, 768,785.18 and 138,546.45

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Solution

The fourth proportional to 512,523.45, 768,785.18 and 138,546.45 is: 207,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,523.45 : 768,785.18 = 138,546.45 : x
  2. Step 2: Convert to fraction form
    512,523.45/768,785.18 = 138,546.45/x
  3. Step 3: Cross multiply
    512,523.45x = 768,785.18 × 138,546.45
  4. Step 4: Simplify right side
    512,523.45x = 106,512,456,808.88
  5. Step 5: Solve for x
    x = 106,512,456,808.88/512,523.45
  6. Step 6: Final answer
    x = 207,819.68

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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.