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Finding the Fourth Proportional to 286,180.78, 394,948.14 and 165,327.16

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Solution

The fourth proportional to 286,180.78, 394,948.14 and 165,327.16 is: 228,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,180.78 : 394,948.14 = 165,327.16 : x
  2. Step 2: Convert to fraction form
    286,180.78/394,948.14 = 165,327.16/x
  3. Step 3: Cross multiply
    286,180.78x = 394,948.14 × 165,327.16
  4. Step 4: Simplify right side
    286,180.78x = 65,295,654,333.48
  5. Step 5: Solve for x
    x = 65,295,654,333.48/286,180.78
  6. Step 6: Final answer
    x = 228,162.26

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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.