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Finding the Fourth Proportional to 278,321.88, 417,514.50 and 100,912.44

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Solution

The fourth proportional to 278,321.88, 417,514.50 and 100,912.44 is: 151,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,321.88 : 417,514.50 = 100,912.44 : x
  2. Step 2: Convert to fraction form
    278,321.88/417,514.50 = 100,912.44/x
  3. Step 3: Cross multiply
    278,321.88x = 417,514.50 × 100,912.44
  4. Step 4: Simplify right side
    278,321.88x = 42,132,406,930.38
  5. Step 5: Solve for x
    x = 42,132,406,930.38/278,321.88
  6. Step 6: Final answer
    x = 151,380.15

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1.5x scale

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.