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Finding the Fourth Proportional to 228,215.30, 314,912.88 and 126,224.56

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Solution

The fourth proportional to 228,215.30, 314,912.88 and 126,224.56 is: 174,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,215.30 : 314,912.88 = 126,224.56 : x
  2. Step 2: Convert to fraction form
    228,215.30/314,912.88 = 126,224.56/x
  3. Step 3: Cross multiply
    228,215.30x = 314,912.88 × 126,224.56
  4. Step 4: Simplify right side
    228,215.30x = 39,749,739,716.33
  5. Step 5: Solve for x
    x = 39,749,739,716.33/228,215.30
  6. Step 6: Final answer
    x = 174,176.49

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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.