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Finding the Fourth Proportional to 378,146.52, 521,817.60 and 208,380.63

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Solution

The fourth proportional to 378,146.52, 521,817.60 and 208,380.63 is: 287,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,146.52 : 521,817.60 = 208,380.63 : x
  2. Step 2: Convert to fraction form
    378,146.52/521,817.60 = 208,380.63/x
  3. Step 3: Cross multiply
    378,146.52x = 521,817.60 × 208,380.63
  4. Step 4: Simplify right side
    378,146.52x = 108,736,680,233.09
  5. Step 5: Solve for x
    x = 108,736,680,233.09/378,146.52
  6. Step 6: Final answer
    x = 287,551.71

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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.