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Finding the Fourth Proportional to 492,709.10, 739,063.65 and 137,722.55

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Solution

The fourth proportional to 492,709.10, 739,063.65 and 137,722.55 is: 206,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,709.10 : 739,063.65 = 137,722.55 : x
  2. Step 2: Convert to fraction form
    492,709.10/739,063.65 = 137,722.55/x
  3. Step 3: Cross multiply
    492,709.10x = 739,063.65 × 137,722.55
  4. Step 4: Simplify right side
    492,709.10x = 101,785,730,490.31
  5. Step 5: Solve for x
    x = 101,785,730,490.31/492,709.10
  6. Step 6: Final answer
    x = 206,583.83

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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.