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Finding the Fourth Proportional to 286,006.98, 394,724.64 and 165,147.96

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Solution

The fourth proportional to 286,006.98, 394,724.64 and 165,147.96 is: 227,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,006.98 : 394,724.64 = 165,147.96 : x
  2. Step 2: Convert to fraction form
    286,006.98/394,724.64 = 165,147.96/x
  3. Step 3: Cross multiply
    286,006.98x = 394,724.64 × 165,147.96
  4. Step 4: Simplify right side
    286,006.98x = 65,187,969,057.73
  5. Step 5: Solve for x
    x = 65,187,969,057.73/286,006.98
  6. Step 6: Final answer
    x = 227,924.40

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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.