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Finding the Fourth Proportional to 354,873.17, 489,733.36 and 193,729.43

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Solution

The fourth proportional to 354,873.17, 489,733.36 and 193,729.43 is: 267,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,873.17 : 489,733.36 = 193,729.43 : x
  2. Step 2: Convert to fraction form
    354,873.17/489,733.36 = 193,729.43/x
  3. Step 3: Cross multiply
    354,873.17x = 489,733.36 × 193,729.43
  4. Step 4: Simplify right side
    354,873.17x = 94,875,761,751.79
  5. Step 5: Solve for x
    x = 94,875,761,751.79/354,873.17
  6. Step 6: Final answer
    x = 267,351.19

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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.