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Finding the Fourth Proportional to 492,778.49, 739,168.96 and 137,791.94

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Solution

The fourth proportional to 492,778.49, 739,168.96 and 137,791.94 is: 206,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,778.49 : 739,168.96 = 137,791.94 : x
  2. Step 2: Convert to fraction form
    492,778.49/739,168.96 = 137,791.94/x
  3. Step 3: Cross multiply
    492,778.49x = 739,168.96 × 137,791.94
  4. Step 4: Simplify right side
    492,778.49x = 101,851,526,489.63
  5. Step 5: Solve for x
    x = 101,851,526,489.63/492,778.49
  6. Step 6: Final answer
    x = 206,688.25

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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.