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Finding the Fourth Proportional to 492,491.55, 738,605.97 and 137,443.17

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Solution

The fourth proportional to 492,491.55, 738,605.97 and 137,443.17 is: 206,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,491.55 : 738,605.97 = 137,443.17 : x
  2. Step 2: Convert to fraction form
    492,491.55/738,605.97 = 137,443.17/x
  3. Step 3: Cross multiply
    492,491.55x = 738,605.97 × 137,443.17
  4. Step 4: Simplify right side
    492,491.55x = 101,516,345,897.73
  5. Step 5: Solve for x
    x = 101,516,345,897.73/492,491.55
  6. Step 6: Final answer
    x = 206,128.10

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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.