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Finding the Fourth Proportional to 354,638.07, 489,391.02 and 193,493.07

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Solution

The fourth proportional to 354,638.07, 489,391.02 and 193,493.07 is: 267,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638.07 : 489,391.02 = 193,493.07 : x
  2. Step 2: Convert to fraction form
    354,638.07/489,391.02 = 193,493.07/x
  3. Step 3: Cross multiply
    354,638.07x = 489,391.02 × 193,493.07
  4. Step 4: Simplify right side
    354,638.07x = 94,693,770,890.23
  5. Step 5: Solve for x
    x = 94,693,770,890.23/354,638.07
  6. Step 6: Final answer
    x = 267,015.24

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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.