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Finding the Fourth Proportional to 206,165.65, 308,984.21 and 179,400.42

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Solution

The fourth proportional to 206,165.65, 308,984.21 and 179,400.42 is: 268,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,165.65 : 308,984.21 = 179,400.42 : x
  2. Step 2: Convert to fraction form
    206,165.65/308,984.21 = 179,400.42/x
  3. Step 3: Cross multiply
    206,165.65x = 308,984.21 × 179,400.42
  4. Step 4: Simplify right side
    206,165.65x = 55,431,894,605.45
  5. Step 5: Solve for x
    x = 55,431,894,605.45/206,165.65
  6. Step 6: Final answer
    x = 268,870.66

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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.