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Finding the Fourth Proportional to 228,311.78, 342,469.96 and 101,958.42

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Solution

The fourth proportional to 228,311.78, 342,469.96 and 101,958.42 is: 152,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,311.78 : 342,469.96 = 101,958.42 : x
  2. Step 2: Convert to fraction form
    228,311.78/342,469.96 = 101,958.42/x
  3. Step 3: Cross multiply
    228,311.78x = 342,469.96 × 101,958.42
  4. Step 4: Simplify right side
    228,311.78x = 34,917,695,764.17
  5. Step 5: Solve for x
    x = 34,917,695,764.17/228,311.78
  6. Step 6: Final answer
    x = 152,938.65

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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.