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Finding the Fourth Proportional to 378,152.19, 521,843.27 and 206,071.65

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Solution

The fourth proportional to 378,152.19, 521,843.27 and 206,071.65 is: 284,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,152.19 : 521,843.27 = 206,071.65 : x
  2. Step 2: Convert to fraction form
    378,152.19/521,843.27 = 206,071.65/x
  3. Step 3: Cross multiply
    378,152.19x = 521,843.27 × 206,071.65
  4. Step 4: Simplify right side
    378,152.19x = 107,537,102,659.94
  5. Step 5: Solve for x
    x = 107,537,102,659.94/378,152.19
  6. Step 6: Final answer
    x = 284,375.19

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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.