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Finding the Fourth Proportional to 278,103.38, 416,907.64 and 100,570.92

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Solution

The fourth proportional to 278,103.38, 416,907.64 and 100,570.92 is: 150,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,103.38 : 416,907.64 = 100,570.92 : x
  2. Step 2: Convert to fraction form
    278,103.38/416,907.64 = 100,570.92/x
  3. Step 3: Cross multiply
    278,103.38x = 416,907.64 × 100,570.92
  4. Step 4: Simplify right side
    278,103.38x = 41,928,783,472.14
  5. Step 5: Solve for x
    x = 41,928,783,472.14/278,103.38
  6. Step 6: Final answer
    x = 150,766.90

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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.