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Finding the Fourth Proportional to 492,303.14, 738,389.10 and 137,287.43

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Solution

The fourth proportional to 492,303.14, 738,389.10 and 137,287.43 is: 205,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,303.14 : 738,389.10 = 137,287.43 : x
  2. Step 2: Convert to fraction form
    492,303.14/738,389.10 = 137,287.43/x
  3. Step 3: Cross multiply
    492,303.14x = 738,389.10 × 137,287.43
  4. Step 4: Simplify right side
    492,303.14x = 101,371,541,879.01
  5. Step 5: Solve for x
    x = 101,371,541,879.01/492,303.14
  6. Step 6: Final answer
    x = 205,912.85

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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.