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Finding the Fourth Proportional to 286,057.78, 394,747.77 and 158,725.78

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Solution

The fourth proportional to 286,057.78, 394,747.77 and 158,725.78 is: 219,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,057.78 : 394,747.77 = 158,725.78 : x
  2. Step 2: Convert to fraction form
    286,057.78/394,747.77 = 158,725.78/x
  3. Step 3: Cross multiply
    286,057.78x = 394,747.77 × 158,725.78
  4. Step 4: Simplify right side
    286,057.78x = 62,656,647,696.51
  5. Step 5: Solve for x
    x = 62,656,647,696.51/286,057.78
  6. Step 6: Final answer
    x = 219,034.94

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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.