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Finding the Fourth Proportional to 512,499.12, 768,748.90 and 138,522.12

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Solution

The fourth proportional to 512,499.12, 768,748.90 and 138,522.12 is: 207,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,499.12 : 768,748.90 = 138,522.12 : x
  2. Step 2: Convert to fraction form
    512,499.12/768,748.90 = 138,522.12/x
  3. Step 3: Cross multiply
    512,499.12x = 768,748.90 × 138,522.12
  4. Step 4: Simplify right side
    512,499.12x = 106,488,727,375.67
  5. Step 5: Solve for x
    x = 106,488,727,375.67/512,499.12
  6. Step 6: Final answer
    x = 207,783.24

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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.