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Finding the Fourth Proportional to 519,199.20, 778,879.80 and 164,179.44

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Solution

The fourth proportional to 519,199.20, 778,879.80 and 164,179.44 is: 246,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,199.20 : 778,879.80 = 164,179.44 : x
  2. Step 2: Convert to fraction form
    519,199.20/778,879.80 = 164,179.44/x
  3. Step 3: Cross multiply
    519,199.20x = 778,879.80 × 164,179.44
  4. Step 4: Simplify right side
    519,199.20x = 127,876,049,391.31
  5. Step 5: Solve for x
    x = 127,876,049,391.31/519,199.20
  6. Step 6: Final answer
    x = 246,294.77

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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.