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Finding the Fourth Proportional to 492,257.78, 738,511.20 and 137,271.83

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Solution

The fourth proportional to 492,257.78, 738,511.20 and 137,271.83 is: 205,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,257.78 : 738,511.20 = 137,271.83 : x
  2. Step 2: Convert to fraction form
    492,257.78/738,511.20 = 137,271.83/x
  3. Step 3: Cross multiply
    492,257.78x = 738,511.20 × 137,271.83
  4. Step 4: Simplify right side
    492,257.78x = 101,376,780,206.94
  5. Step 5: Solve for x
    x = 101,376,780,206.94/492,257.78
  6. Step 6: Final answer
    x = 205,942.47

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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.