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Finding the Fourth Proportional to 280,379.80, 420,465.78 and 100,437.18

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Solution

The fourth proportional to 280,379.80, 420,465.78 and 100,437.18 is: 150,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,379.80 : 420,465.78 = 100,437.18 : x
  2. Step 2: Convert to fraction form
    280,379.80/420,465.78 = 100,437.18/x
  3. Step 3: Cross multiply
    280,379.80x = 420,465.78 × 100,437.18
  4. Step 4: Simplify right side
    280,379.80x = 42,230,397,229.70
  5. Step 5: Solve for x
    x = 42,230,397,229.70/280,379.80
  6. Step 6: Final answer
    x = 150,618.54

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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.