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Finding the Fourth Proportional to 379,068.45, 523,106.69 and 206,991.65

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Solution

The fourth proportional to 379,068.45, 523,106.69 and 206,991.65 is: 285,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,068.45 : 523,106.69 = 206,991.65 : x
  2. Step 2: Convert to fraction form
    379,068.45/523,106.69 = 206,991.65/x
  3. Step 3: Cross multiply
    379,068.45x = 523,106.69 × 206,991.65
  4. Step 4: Simplify right side
    379,068.45x = 108,278,713,238.65
  5. Step 5: Solve for x
    x = 108,278,713,238.65/379,068.45
  6. Step 6: Final answer
    x = 285,644.22

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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.