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Finding the Fourth Proportional to 228,399.75, 315,183.76 and 126,429.66

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Solution

The fourth proportional to 228,399.75, 315,183.76 and 126,429.66 is: 174,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,399.75 : 315,183.76 = 126,429.66 : x
  2. Step 2: Convert to fraction form
    228,399.75/315,183.76 = 126,429.66/x
  3. Step 3: Cross multiply
    228,399.75x = 315,183.76 × 126,429.66
  4. Step 4: Simplify right side
    228,399.75x = 39,848,575,298.25
  5. Step 5: Solve for x
    x = 39,848,575,298.25/228,399.75
  6. Step 6: Final answer
    x = 174,468.56

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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.