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Finding the Fourth Proportional to 512,205.80, 768,746.10 and 228,333.20

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Solution

The fourth proportional to 512,205.80, 768,746.10 and 228,333.20 is: 342,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,205.80 : 768,746.10 = 228,333.20 : x
  2. Step 2: Convert to fraction form
    512,205.80/768,746.10 = 228,333.20/x
  3. Step 3: Cross multiply
    512,205.80x = 768,746.10 × 228,333.20
  4. Step 4: Simplify right side
    512,205.80x = 175,530,257,000.52
  5. Step 5: Solve for x
    x = 175,530,257,000.52/512,205.80
  6. Step 6: Final answer
    x = 342,694.79

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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.