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Finding the Fourth Proportional to 279,817.44, 419,685.30 and 137,624.57

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Solution

The fourth proportional to 279,817.44, 419,685.30 and 137,624.57 is: 206,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,817.44 : 419,685.30 = 137,624.57 : x
  2. Step 2: Convert to fraction form
    279,817.44/419,685.30 = 137,624.57/x
  3. Step 3: Cross multiply
    279,817.44x = 419,685.30 × 137,624.57
  4. Step 4: Simplify right side
    279,817.44x = 57,759,008,423.21
  5. Step 5: Solve for x
    x = 57,759,008,423.21/279,817.44
  6. Step 6: Final answer
    x = 206,416.76

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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.