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Finding the Fourth Proportional to 512,049.30, 768,511.35 and 228,176.70

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Solution

The fourth proportional to 512,049.30, 768,511.35 and 228,176.70 is: 342,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,049.30 : 768,511.35 = 228,176.70 : x
  2. Step 2: Convert to fraction form
    512,049.30/768,511.35 = 228,176.70/x
  3. Step 3: Cross multiply
    512,049.30x = 768,511.35 × 228,176.70
  4. Step 4: Simplify right side
    512,049.30x = 175,356,383,755.55
  5. Step 5: Solve for x
    x = 175,356,383,755.55/512,049.30
  6. Step 6: Final answer
    x = 342,459.96

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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.