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Finding the Fourth Proportional to 279,078.98, 384,993.66 and 165,821.54

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Solution

The fourth proportional to 279,078.98, 384,993.66 and 165,821.54 is: 228,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,078.98 : 384,993.66 = 165,821.54 : x
  2. Step 2: Convert to fraction form
    279,078.98/384,993.66 = 165,821.54/x
  3. Step 3: Cross multiply
    279,078.98x = 384,993.66 × 165,821.54
  4. Step 4: Simplify right side
    279,078.98x = 63,840,241,591.44
  5. Step 5: Solve for x
    x = 63,840,241,591.44/279,078.98
  6. Step 6: Final answer
    x = 228,753.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.