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Finding the Fourth Proportional to 492,313.11, 738,404.03 and 137,297.40

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Solution

The fourth proportional to 492,313.11, 738,404.03 and 137,297.40 is: 205,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,313.11 : 738,404.03 = 137,297.40 : x
  2. Step 2: Convert to fraction form
    492,313.11/738,404.03 = 137,297.40/x
  3. Step 3: Cross multiply
    492,313.11x = 738,404.03 × 137,297.40
  4. Step 4: Simplify right side
    492,313.11x = 101,380,951,042.75
  5. Step 5: Solve for x
    x = 101,380,951,042.75/492,313.11
  6. Step 6: Final answer
    x = 205,927.79

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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.