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Finding the Fourth Proportional to 278,301.37, 417,493.14 and 100,766.94

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Solution

The fourth proportional to 278,301.37, 417,493.14 and 100,766.94 is: 151,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,301.37 : 417,493.14 = 100,766.94 : x
  2. Step 2: Convert to fraction form
    278,301.37/417,493.14 = 100,766.94/x
  3. Step 3: Cross multiply
    278,301.37x = 417,493.14 × 100,766.94
  4. Step 4: Simplify right side
    278,301.37x = 42,069,504,245.32
  5. Step 5: Solve for x
    x = 42,069,504,245.32/278,301.37
  6. Step 6: Final answer
    x = 151,165.28

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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.