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Finding the Fourth Proportional to 228,800.85, 343,218.82 and 76,998.67

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Solution

The fourth proportional to 228,800.85, 343,218.82 and 76,998.67 is: 115,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,800.85 : 343,218.82 = 76,998.67 : x
  2. Step 2: Convert to fraction form
    228,800.85/343,218.82 = 76,998.67/x
  3. Step 3: Cross multiply
    228,800.85x = 343,218.82 × 76,998.67
  4. Step 4: Simplify right side
    228,800.85x = 26,427,392,273.98
  5. Step 5: Solve for x
    x = 26,427,392,273.98/228,800.85
  6. Step 6: Final answer
    x = 115,503.91

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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.