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Finding the Fourth Proportional to 378,051.82, 521,713.02 and 208,285.96

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Solution

The fourth proportional to 378,051.82, 521,713.02 and 208,285.96 is: 287,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,051.82 : 521,713.02 = 208,285.96 : x
  2. Step 2: Convert to fraction form
    378,051.82/521,713.02 = 208,285.96/x
  3. Step 3: Cross multiply
    378,051.82x = 521,713.02 × 208,285.96
  4. Step 4: Simplify right side
    378,051.82x = 108,665,497,215.20
  5. Step 5: Solve for x
    x = 108,665,497,215.20/378,051.82
  6. Step 6: Final answer
    x = 287,435.46

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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.