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Finding the Fourth Proportional to 278,047.40, 417,103.49 and 100,637.96

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Solution

The fourth proportional to 278,047.40, 417,103.49 and 100,637.96 is: 150,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,047.40 : 417,103.49 = 100,637.96 : x
  2. Step 2: Convert to fraction form
    278,047.40/417,103.49 = 100,637.96/x
  3. Step 3: Cross multiply
    278,047.40x = 417,103.49 × 100,637.96
  4. Step 4: Simplify right side
    278,047.40x = 41,976,442,508.56
  5. Step 5: Solve for x
    x = 41,976,442,508.56/278,047.40
  6. Step 6: Final answer
    x = 150,968.66

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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.