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Finding the Fourth Proportional to 258,873.82, 387,793.83 and 205,655.91

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Solution

The fourth proportional to 258,873.82, 387,793.83 and 205,655.91 is: 308,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,873.82 : 387,793.83 = 205,655.91 : x
  2. Step 2: Convert to fraction form
    258,873.82/387,793.83 = 205,655.91/x
  3. Step 3: Cross multiply
    258,873.82x = 387,793.83 × 205,655.91
  4. Step 4: Simplify right side
    258,873.82x = 79,752,093,342.54
  5. Step 5: Solve for x
    x = 79,752,093,342.54/258,873.82
  6. Step 6: Final answer
    x = 308,073.22

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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.