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Finding the Fourth Proportional to 287,039.86, 396,163.58 and 166,254.68

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Solution

The fourth proportional to 287,039.86, 396,163.58 and 166,254.68 is: 229,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,039.86 : 396,163.58 = 166,254.68 : x
  2. Step 2: Convert to fraction form
    287,039.86/396,163.58 = 166,254.68/x
  3. Step 3: Cross multiply
    287,039.86x = 396,163.58 × 166,254.68
  4. Step 4: Simplify right side
    287,039.86x = 65,864,049,379.69
  5. Step 5: Solve for x
    x = 65,864,049,379.69/287,039.86
  6. Step 6: Final answer
    x = 229,459.59

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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.