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Finding the Fourth Proportional to 378,051.70, 521,734.89 and 208,285.78

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Solution

The fourth proportional to 378,051.70, 521,734.89 and 208,285.78 is: 287,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,051.70 : 521,734.89 = 208,285.78 : x
  2. Step 2: Convert to fraction form
    378,051.70/521,734.89 = 208,285.78/x
  3. Step 3: Cross multiply
    378,051.70x = 521,734.89 × 208,285.78
  4. Step 4: Simplify right side
    378,051.70x = 108,669,958,516.86
  5. Step 5: Solve for x
    x = 108,669,958,516.86/378,051.70
  6. Step 6: Final answer
    x = 287,447.35

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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.