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Finding the Fourth Proportional to 512,433.17, 768,517.11 and 152,519.52

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Solution

The fourth proportional to 512,433.17, 768,517.11 and 152,519.52 is: 228,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,433.17 : 768,517.11 = 152,519.52 : x
  2. Step 2: Convert to fraction form
    512,433.17/768,517.11 = 152,519.52/x
  3. Step 3: Cross multiply
    512,433.17x = 768,517.11 × 152,519.52
  4. Step 4: Simplify right side
    512,433.17x = 117,213,860,728.99
  5. Step 5: Solve for x
    x = 117,213,860,728.99/512,433.17
  6. Step 6: Final answer
    x = 228,739.80

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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.