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Finding the Fourth Proportional to 354,806.56, 489,629.04 and 193,660.40

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Solution

The fourth proportional to 354,806.56, 489,629.04 and 193,660.40 is: 267,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,806.56 : 489,629.04 = 193,660.40 : x
  2. Step 2: Convert to fraction form
    354,806.56/489,629.04 = 193,660.40/x
  3. Step 3: Cross multiply
    354,806.56x = 489,629.04 × 193,660.40
  4. Step 4: Simplify right side
    354,806.56x = 94,821,755,738.02
  5. Step 5: Solve for x
    x = 94,821,755,738.02/354,806.56
  6. Step 6: Final answer
    x = 267,249.16

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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.