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Finding the Fourth Proportional to 278,420.90, 417,093.71 and 166,190.54

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Solution

The fourth proportional to 278,420.90, 417,093.71 and 166,190.54 is: 248,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,420.90 : 417,093.71 = 166,190.54 : x
  2. Step 2: Convert to fraction form
    278,420.90/417,093.71 = 166,190.54/x
  3. Step 3: Cross multiply
    278,420.90x = 417,093.71 × 166,190.54
  4. Step 4: Simplify right side
    278,420.90x = 69,317,025,979.08
  5. Step 5: Solve for x
    x = 69,317,025,979.08/278,420.90
  6. Step 6: Final answer
    x = 248,964.88

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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.