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Finding the Fourth Proportional to 279,970.92, 419,659.30 and 137,615.44

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Solution

The fourth proportional to 279,970.92, 419,659.30 and 137,615.44 is: 206,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,970.92 : 419,659.30 = 137,615.44 : x
  2. Step 2: Convert to fraction form
    279,970.92/419,659.30 = 137,615.44/x
  3. Step 3: Cross multiply
    279,970.92x = 419,659.30 × 137,615.44
  4. Step 4: Simplify right side
    279,970.92x = 57,751,599,219.59
  5. Step 5: Solve for x
    x = 57,751,599,219.59/279,970.92
  6. Step 6: Final answer
    x = 206,277.13

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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.