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Finding the Fourth Proportional to 280,104.20, 419,805.90 and 139,901.96

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Solution

The fourth proportional to 280,104.20, 419,805.90 and 139,901.96 is: 209,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,104.20 : 419,805.90 = 139,901.96 : x
  2. Step 2: Convert to fraction form
    280,104.20/419,805.90 = 139,901.96/x
  3. Step 3: Cross multiply
    280,104.20x = 419,805.90 × 139,901.96
  4. Step 4: Simplify right side
    280,104.20x = 58,731,668,229.56
  5. Step 5: Solve for x
    x = 58,731,668,229.56/280,104.20
  6. Step 6: Final answer
    x = 209,677.93

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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.