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Finding the Fourth Proportional to 394,258.34, 591,379.01 and 109,941.31

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Solution

The fourth proportional to 394,258.34, 591,379.01 and 109,941.31 is: 164,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,258.34 : 591,379.01 = 109,941.31 : x
  2. Step 2: Convert to fraction form
    394,258.34/591,379.01 = 109,941.31/x
  3. Step 3: Cross multiply
    394,258.34x = 591,379.01 × 109,941.31
  4. Step 4: Simplify right side
    394,258.34x = 65,016,984,286.12
  5. Step 5: Solve for x
    x = 65,016,984,286.12/394,258.34
  6. Step 6: Final answer
    x = 164,909.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.