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Finding the Fourth Proportional to 378,168.38, 521,872.37 and 208,402.50

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Solution

The fourth proportional to 378,168.38, 521,872.37 and 208,402.50 is: 287,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,168.38 : 521,872.37 = 208,402.50 : x
  2. Step 2: Convert to fraction form
    378,168.38/521,872.37 = 208,402.50/x
  3. Step 3: Cross multiply
    378,168.38x = 521,872.37 × 208,402.50
  4. Step 4: Simplify right side
    378,168.38x = 108,759,505,546.91
  5. Step 5: Solve for x
    x = 108,759,505,546.91/378,168.38
  6. Step 6: Final answer
    x = 287,595.45

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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.