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Finding the Fourth Proportional to 354,881.70, 489,744.36 and 193,743.54

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Solution

The fourth proportional to 354,881.70, 489,744.36 and 193,743.54 is: 267,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,881.70 : 489,744.36 = 193,743.54 : x
  2. Step 2: Convert to fraction form
    354,881.70/489,744.36 = 193,743.54/x
  3. Step 3: Cross multiply
    354,881.70x = 489,744.36 × 193,743.54
  4. Step 4: Simplify right side
    354,881.70x = 94,884,806,001.43
  5. Step 5: Solve for x
    x = 94,884,806,001.43/354,881.70
  6. Step 6: Final answer
    x = 267,370.24

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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.