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Finding the Fourth Proportional to 354,738.92, 489,551.09 and 201,773.16

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Solution

The fourth proportional to 354,738.92, 489,551.09 and 201,773.16 is: 278,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,738.92 : 489,551.09 = 201,773.16 : x
  2. Step 2: Convert to fraction form
    354,738.92/489,551.09 = 201,773.16/x
  3. Step 3: Cross multiply
    354,738.92x = 489,551.09 × 201,773.16
  4. Step 4: Simplify right side
    354,738.92x = 98,778,269,401.88
  5. Step 5: Solve for x
    x = 98,778,269,401.88/354,738.92
  6. Step 6: Final answer
    x = 278,453.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.