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Finding the Fourth Proportional to 511,758, 706,226.04 and 285,398.64

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Solution

The fourth proportional to 511,758, 706,226.04 and 285,398.64 is: 393,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,758 : 706,226.04 = 285,398.64 : x
  2. Step 2: Convert to fraction form
    511,758/706,226.04 = 285,398.64/x
  3. Step 3: Cross multiply
    511,758x = 706,226.04 × 285,398.64
  4. Step 4: Simplify right side
    511,758x = 201,555,951,348.59
  5. Step 5: Solve for x
    x = 201,555,951,348.59/511,758
  6. Step 6: Final answer
    x = 393,850.12

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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.