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Finding the Fourth Proportional to 585,170.52, 878,009.30 and 206,361.90

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Solution

The fourth proportional to 585,170.52, 878,009.30 and 206,361.90 is: 309,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,170.52 : 878,009.30 = 206,361.90 : x
  2. Step 2: Convert to fraction form
    585,170.52/878,009.30 = 206,361.90/x
  3. Step 3: Cross multiply
    585,170.52x = 878,009.30 × 206,361.90
  4. Step 4: Simplify right side
    585,170.52x = 181,187,667,365.67
  5. Step 5: Solve for x
    x = 181,187,667,365.67/585,170.52
  6. Step 6: Final answer
    x = 309,632.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.