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Finding the Fourth Proportional to 512,857.62, 769,373.91 and 228,651.30

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Solution

The fourth proportional to 512,857.62, 769,373.91 and 228,651.30 is: 343,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,857.62 : 769,373.91 = 228,651.30 : x
  2. Step 2: Convert to fraction form
    512,857.62/769,373.91 = 228,651.30/x
  3. Step 3: Cross multiply
    512,857.62x = 769,373.91 × 228,651.30
  4. Step 4: Simplify right side
    512,857.62x = 175,918,344,707.58
  5. Step 5: Solve for x
    x = 175,918,344,707.58/512,857.62
  6. Step 6: Final answer
    x = 343,015.95

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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.