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Finding the Fourth Proportional to 394,406.96, 544,324.85 and 228,871.40

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Solution

The fourth proportional to 394,406.96, 544,324.85 and 228,871.40 is: 315,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,406.96 : 544,324.85 = 228,871.40 : x
  2. Step 2: Convert to fraction form
    394,406.96/544,324.85 = 228,871.40/x
  3. Step 3: Cross multiply
    394,406.96x = 544,324.85 × 228,871.40
  4. Step 4: Simplify right side
    394,406.96x = 124,580,388,324.84
  5. Step 5: Solve for x
    x = 124,580,388,324.84/394,406.96
  6. Step 6: Final answer
    x = 315,867.62

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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.