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Finding the Fourth Proportional to 228,218.76, 314,917.60 and 126,228

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Solution

The fourth proportional to 228,218.76, 314,917.60 and 126,228 is: 174,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,218.76 : 314,917.60 = 126,228 : x
  2. Step 2: Convert to fraction form
    228,218.76/314,917.60 = 126,228/x
  3. Step 3: Cross multiply
    228,218.76x = 314,917.60 × 126,228
  4. Step 4: Simplify right side
    228,218.76x = 39,751,418,812.80
  5. Step 5: Solve for x
    x = 39,751,418,812.80/228,218.76
  6. Step 6: Final answer
    x = 174,181.21

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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.