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Finding the Fourth Proportional to 286,101.91, 394,802.26 and 178,665.54

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Solution

The fourth proportional to 286,101.91, 394,802.26 and 178,665.54 is: 246,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,101.91 : 394,802.26 = 178,665.54 : x
  2. Step 2: Convert to fraction form
    286,101.91/394,802.26 = 178,665.54/x
  3. Step 3: Cross multiply
    286,101.91x = 394,802.26 × 178,665.54
  4. Step 4: Simplify right side
    286,101.91x = 70,537,558,976.12
  5. Step 5: Solve for x
    x = 70,537,558,976.12/286,101.91
  6. Step 6: Final answer
    x = 246,546.97

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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.