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Finding the Fourth Proportional to 378,131.97, 521,847.42 and 208,366.11

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Solution

The fourth proportional to 378,131.97, 521,847.42 and 208,366.11 is: 287,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,131.97 : 521,847.42 = 208,366.11 : x
  2. Step 2: Convert to fraction form
    378,131.97/521,847.42 = 208,366.11/x
  3. Step 3: Cross multiply
    378,131.97x = 521,847.42 × 208,366.11
  4. Step 4: Simplify right side
    378,131.97x = 108,735,316,918.94
  5. Step 5: Solve for x
    x = 108,735,316,918.94/378,131.97
  6. Step 6: Final answer
    x = 287,559.17

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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.