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Finding the Fourth Proportional to 300,915.15, 415,543.82 and 193,671.96

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Solution

The fourth proportional to 300,915.15, 415,543.82 and 193,671.96 is: 267,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,915.15 : 415,543.82 = 193,671.96 : x
  2. Step 2: Convert to fraction form
    300,915.15/415,543.82 = 193,671.96/x
  3. Step 3: Cross multiply
    300,915.15x = 415,543.82 × 193,671.96
  4. Step 4: Simplify right side
    300,915.15x = 80,479,185,116.93
  5. Step 5: Solve for x
    x = 80,479,185,116.93/300,915.15
  6. Step 6: Final answer
    x = 267,448.10

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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.