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Finding the Fourth Proportional to 271,911, 408,005 and 192,459.72

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Solution

The fourth proportional to 271,911, 408,005 and 192,459.72 is: 288,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,911 : 408,005 = 192,459.72 : x
  2. Step 2: Convert to fraction form
    271,911/408,005 = 192,459.72/x
  3. Step 3: Cross multiply
    271,911x = 408,005 × 192,459.72
  4. Step 4: Simplify right side
    271,911x = 78,524,528,058.60
  5. Step 5: Solve for x
    x = 78,524,528,058.60/271,911
  6. Step 6: Final answer
    x = 288,787.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.