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Finding the Fourth Proportional to 228,814.28, 315,747.78 and 126,838.76

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Solution

The fourth proportional to 228,814.28, 315,747.78 and 126,838.76 is: 175,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,814.28 : 315,747.78 = 126,838.76 : x
  2. Step 2: Convert to fraction form
    228,814.28/315,747.78 = 126,838.76/x
  3. Step 3: Cross multiply
    228,814.28x = 315,747.78 × 126,838.76
  4. Step 4: Simplify right side
    228,814.28x = 40,049,056,887.95
  5. Step 5: Solve for x
    x = 40,049,056,887.95/228,814.28
  6. Step 6: Final answer
    x = 175,028.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.