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Finding the Fourth Proportional to 378,224.40, 521,952.84 and 208,458.96

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Solution

The fourth proportional to 378,224.40, 521,952.84 and 208,458.96 is: 287,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,224.40 : 521,952.84 = 208,458.96 : x
  2. Step 2: Convert to fraction form
    378,224.40/521,952.84 = 208,458.96/x
  3. Step 3: Cross multiply
    378,224.40x = 521,952.84 × 208,458.96
  4. Step 4: Simplify right side
    378,224.40x = 108,805,746,195.45
  5. Step 5: Solve for x
    x = 108,805,746,195.45/378,224.40
  6. Step 6: Final answer
    x = 287,675.11

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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.