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Finding the Fourth Proportional to 279,969.41, 419,657.05 and 137,613.94

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Solution

The fourth proportional to 279,969.41, 419,657.05 and 137,613.94 is: 206,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,969.41 : 419,657.05 = 137,613.94 : x
  2. Step 2: Convert to fraction form
    279,969.41/419,657.05 = 137,613.94/x
  3. Step 3: Cross multiply
    279,969.41x = 419,657.05 × 137,613.94
  4. Step 4: Simplify right side
    279,969.41x = 57,750,659,222.15
  5. Step 5: Solve for x
    x = 57,750,659,222.15/279,969.41
  6. Step 6: Final answer
    x = 206,274.89

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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.