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Finding the Fourth Proportional to 206,411.62, 284,851 and 154,636.96

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Solution

The fourth proportional to 206,411.62, 284,851 and 154,636.96 is: 213,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.62 : 284,851 = 154,636.96 : x
  2. Step 2: Convert to fraction form
    206,411.62/284,851 = 154,636.96/x
  3. Step 3: Cross multiply
    206,411.62x = 284,851 × 154,636.96
  4. Step 4: Simplify right side
    206,411.62x = 44,048,492,692.96
  5. Step 5: Solve for x
    x = 44,048,492,692.96/206,411.62
  6. Step 6: Final answer
    x = 213,401.23

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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.