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Finding the Fourth Proportional to 278,333.91, 417,499.74 and 100,799.46

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Solution

The fourth proportional to 278,333.91, 417,499.74 and 100,799.46 is: 151,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,333.91 : 417,499.74 = 100,799.46 : x
  2. Step 2: Convert to fraction form
    278,333.91/417,499.74 = 100,799.46/x
  3. Step 3: Cross multiply
    278,333.91x = 417,499.74 × 100,799.46
  4. Step 4: Simplify right side
    278,333.91x = 42,083,748,342.14
  5. Step 5: Solve for x
    x = 42,083,748,342.14/278,333.91
  6. Step 6: Final answer
    x = 151,198.78

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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.