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Finding the Fourth Proportional to 206,410.62, 284,849.62 and 154,635.96

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Solution

The fourth proportional to 206,410.62, 284,849.62 and 154,635.96 is: 213,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,410.62 : 284,849.62 = 154,635.96 : x
  2. Step 2: Convert to fraction form
    206,410.62/284,849.62 = 154,635.96/x
  3. Step 3: Cross multiply
    206,410.62x = 284,849.62 × 154,635.96
  4. Step 4: Simplify right side
    206,410.62x = 44,047,994,444.34
  5. Step 5: Solve for x
    x = 44,047,994,444.34/206,410.62
  6. Step 6: Final answer
    x = 213,399.85

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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.