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Finding the Fourth Proportional to 228,218.80, 314,917.70 and 126,228.06

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Solution

The fourth proportional to 228,218.80, 314,917.70 and 126,228.06 is: 174,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,218.80 : 314,917.70 = 126,228.06 : x
  2. Step 2: Convert to fraction form
    228,218.80/314,917.70 = 126,228.06/x
  3. Step 3: Cross multiply
    228,218.80x = 314,917.70 × 126,228.06
  4. Step 4: Simplify right side
    228,218.80x = 39,751,450,330.66
  5. Step 5: Solve for x
    x = 39,751,450,330.66/228,218.80
  6. Step 6: Final answer
    x = 174,181.31

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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.