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Finding the Fourth Proportional to 378,460.38, 522,264.12 and 208,694.46

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Solution

The fourth proportional to 378,460.38, 522,264.12 and 208,694.46 is: 287,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,460.38 : 522,264.12 = 208,694.46 : x
  2. Step 2: Convert to fraction form
    378,460.38/522,264.12 = 208,694.46/x
  3. Step 3: Cross multiply
    378,460.38x = 522,264.12 × 208,694.46
  4. Step 4: Simplify right side
    378,460.38x = 108,993,628,500.78
  5. Step 5: Solve for x
    x = 108,993,628,500.78/378,460.38
  6. Step 6: Final answer
    x = 287,992.18

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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.