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Finding the Fourth Proportional to 354,880.58, 489,742.61 and 193,742.42

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Solution

The fourth proportional to 354,880.58, 489,742.61 and 193,742.42 is: 267,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,880.58 : 489,742.61 = 193,742.42 : x
  2. Step 2: Convert to fraction form
    354,880.58/489,742.61 = 193,742.42/x
  3. Step 3: Cross multiply
    354,880.58x = 489,742.61 × 193,742.42
  4. Step 4: Simplify right side
    354,880.58x = 94,883,915,021.09
  5. Step 5: Solve for x
    x = 94,883,915,021.09/354,880.58
  6. Step 6: Final answer
    x = 267,368.58

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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.