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Finding the Fourth Proportional to 228,704.20, 343,023.90 and 70,948.60

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Solution

The fourth proportional to 228,704.20, 343,023.90 and 70,948.60 is: 106,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,704.20 : 343,023.90 = 70,948.60 : x
  2. Step 2: Convert to fraction form
    228,704.20/343,023.90 = 70,948.60/x
  3. Step 3: Cross multiply
    228,704.20x = 343,023.90 × 70,948.60
  4. Step 4: Simplify right side
    228,704.20x = 24,337,065,471.54
  5. Step 5: Solve for x
    x = 24,337,065,471.54/228,704.20
  6. Step 6: Final answer
    x = 106,412.85

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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.