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Finding the Fourth Proportional to 286,067.97, 394,778.81 and 157,018.52

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Solution

The fourth proportional to 286,067.97, 394,778.81 and 157,018.52 is: 216,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,067.97 : 394,778.81 = 157,018.52 : x
  2. Step 2: Convert to fraction form
    286,067.97/394,778.81 = 157,018.52/x
  3. Step 3: Cross multiply
    286,067.97x = 394,778.81 × 157,018.52
  4. Step 4: Simplify right side
    286,067.97x = 61,987,581,714.57
  5. Step 5: Solve for x
    x = 61,987,581,714.57/286,067.97
  6. Step 6: Final answer
    x = 216,688.30

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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.