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Finding the Fourth Proportional to 228,213.80, 314,910.81 and 126,223.05

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Solution

The fourth proportional to 228,213.80, 314,910.81 and 126,223.05 is: 174,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,213.80 : 314,910.81 = 126,223.05 : x
  2. Step 2: Convert to fraction form
    228,213.80/314,910.81 = 126,223.05/x
  3. Step 3: Cross multiply
    228,213.80x = 314,910.81 × 126,223.05
  4. Step 4: Simplify right side
    228,213.80x = 39,749,002,916.17
  5. Step 5: Solve for x
    x = 39,749,002,916.17/228,213.80
  6. Step 6: Final answer
    x = 174,174.41

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1.5x scale

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.