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Finding the Fourth Proportional to 285,699.69, 394,163.91 and 164,871.54

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Solution

The fourth proportional to 285,699.69, 394,163.91 and 164,871.54 is: 227,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,699.69 : 394,163.91 = 164,871.54 : x
  2. Step 2: Convert to fraction form
    285,699.69/394,163.91 = 164,871.54/x
  3. Step 3: Cross multiply
    285,699.69x = 394,163.91 × 164,871.54
  4. Step 4: Simplify right side
    285,699.69x = 64,986,410,854.12
  5. Step 5: Solve for x
    x = 64,986,410,854.12/285,699.69
  6. Step 6: Final answer
    x = 227,464.06

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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.