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Finding the Fourth Proportional to 512,139.80, 768,647.10 and 228,267.20

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Solution

The fourth proportional to 512,139.80, 768,647.10 and 228,267.20 is: 342,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,139.80 : 768,647.10 = 228,267.20 : x
  2. Step 2: Convert to fraction form
    512,139.80/768,647.10 = 228,267.20/x
  3. Step 3: Cross multiply
    512,139.80x = 768,647.10 × 228,267.20
  4. Step 4: Simplify right side
    512,139.80x = 175,456,921,305.12
  5. Step 5: Solve for x
    x = 175,456,921,305.12/512,139.80
  6. Step 6: Final answer
    x = 342,595.75

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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.