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Finding the Fourth Proportional to 489,016.56, 733,446.12 and 133,947.54

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Solution

The fourth proportional to 489,016.56, 733,446.12 and 133,947.54 is: 200,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,016.56 : 733,446.12 = 133,947.54 : x
  2. Step 2: Convert to fraction form
    489,016.56/733,446.12 = 133,947.54/x
  3. Step 3: Cross multiply
    489,016.56x = 733,446.12 × 133,947.54
  4. Step 4: Simplify right side
    489,016.56x = 98,243,303,496.54
  5. Step 5: Solve for x
    x = 98,243,303,496.54/489,016.56
  6. Step 6: Final answer
    x = 200,899.75

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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.