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Finding the Fourth Proportional to 378,152.63, 521,843.93 and 206,072.13

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Solution

The fourth proportional to 378,152.63, 521,843.93 and 206,072.13 is: 284,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,152.63 : 521,843.93 = 206,072.13 : x
  2. Step 2: Convert to fraction form
    378,152.63/521,843.93 = 206,072.13/x
  3. Step 3: Cross multiply
    378,152.63x = 521,843.93 × 206,072.13
  4. Step 4: Simplify right side
    378,152.63x = 107,537,493,041.15
  5. Step 5: Solve for x
    x = 107,537,493,041.15/378,152.63
  6. Step 6: Final answer
    x = 284,375.90

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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.