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Finding the Fourth Proportional to 278,450.60, 417,675.90 and 81,458.60

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Solution

The fourth proportional to 278,450.60, 417,675.90 and 81,458.60 is: 122,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,450.60 : 417,675.90 = 81,458.60 : x
  2. Step 2: Convert to fraction form
    278,450.60/417,675.90 = 81,458.60/x
  3. Step 3: Cross multiply
    278,450.60x = 417,675.90 × 81,458.60
  4. Step 4: Simplify right side
    278,450.60x = 34,023,294,067.74
  5. Step 5: Solve for x
    x = 34,023,294,067.74/278,450.60
  6. Step 6: Final answer
    x = 122,187.90

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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.