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Finding the Fourth Proportional to 394,211.40, 591,317.10 and 228,323.40

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Solution

The fourth proportional to 394,211.40, 591,317.10 and 228,323.40 is: 342,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,211.40 : 591,317.10 = 228,323.40 : x
  2. Step 2: Convert to fraction form
    394,211.40/591,317.10 = 228,323.40/x
  3. Step 3: Cross multiply
    394,211.40x = 591,317.10 × 228,323.40
  4. Step 4: Simplify right side
    394,211.40x = 135,011,530,750.14
  5. Step 5: Solve for x
    x = 135,011,530,750.14/394,211.40
  6. Step 6: Final answer
    x = 342,485.10

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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.