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Finding the Fourth Proportional to 519,110.80, 778,234.20 and 219,821.20

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Solution

The fourth proportional to 519,110.80, 778,234.20 and 219,821.20 is: 329,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,110.80 : 778,234.20 = 219,821.20 : x
  2. Step 2: Convert to fraction form
    519,110.80/778,234.20 = 219,821.20/x
  3. Step 3: Cross multiply
    519,110.80x = 778,234.20 × 219,821.20
  4. Step 4: Simplify right side
    519,110.80x = 171,072,375,725.04
  5. Step 5: Solve for x
    x = 171,072,375,725.04/519,110.80
  6. Step 6: Final answer
    x = 329,548.87

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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.