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Finding the Fourth Proportional to 228,288.44, 315,020.94 and 127,667

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Solution

The fourth proportional to 228,288.44, 315,020.94 and 127,667 is: 176,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,288.44 : 315,020.94 = 127,667 : x
  2. Step 2: Convert to fraction form
    228,288.44/315,020.94 = 127,667/x
  3. Step 3: Cross multiply
    228,288.44x = 315,020.94 × 127,667
  4. Step 4: Simplify right side
    228,288.44x = 40,217,778,346.98
  5. Step 5: Solve for x
    x = 40,217,778,346.98/228,288.44
  6. Step 6: Final answer
    x = 176,170.89

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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.