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Finding the Fourth Proportional to 378,025.92, 521,674.56 and 208,258.56

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Solution

The fourth proportional to 378,025.92, 521,674.56 and 208,258.56 is: 287,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,025.92 : 521,674.56 = 208,258.56 : x
  2. Step 2: Convert to fraction form
    378,025.92/521,674.56 = 208,258.56/x
  3. Step 3: Cross multiply
    378,025.92x = 521,674.56 × 208,258.56
  4. Step 4: Simplify right side
    378,025.92x = 108,643,192,654.23
  5. Step 5: Solve for x
    x = 108,643,192,654.23/378,025.92
  6. Step 6: Final answer
    x = 287,396.15

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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.