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Finding the Fourth Proportional to 492,704.10, 739,056.15 and 137,717.55

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Solution

The fourth proportional to 492,704.10, 739,056.15 and 137,717.55 is: 206,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,704.10 : 739,056.15 = 137,717.55 : x
  2. Step 2: Convert to fraction form
    492,704.10/739,056.15 = 137,717.55/x
  3. Step 3: Cross multiply
    492,704.10x = 739,056.15 × 137,717.55
  4. Step 4: Simplify right side
    492,704.10x = 101,781,002,290.43
  5. Step 5: Solve for x
    x = 101,781,002,290.43/492,704.10
  6. Step 6: Final answer
    x = 206,576.33

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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.