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Finding the Fourth Proportional to 286,165.73, 394,908.39 and 158,841.02

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Solution

The fourth proportional to 286,165.73, 394,908.39 and 158,841.02 is: 219,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,165.73 : 394,908.39 = 158,841.02 : x
  2. Step 2: Convert to fraction form
    286,165.73/394,908.39 = 158,841.02/x
  3. Step 3: Cross multiply
    286,165.73x = 394,908.39 × 158,841.02
  4. Step 4: Simplify right side
    286,165.73x = 62,727,649,499.62
  5. Step 5: Solve for x
    x = 62,727,649,499.62/286,165.73
  6. Step 6: Final answer
    x = 219,200.43

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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.