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Finding the Fourth Proportional to 228,609, 315,470.70 and 126,634.05

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Solution

The fourth proportional to 228,609, 315,470.70 and 126,634.05 is: 174,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,609 : 315,470.70 = 126,634.05 : x
  2. Step 2: Convert to fraction form
    228,609/315,470.70 = 126,634.05/x
  3. Step 3: Cross multiply
    228,609x = 315,470.70 × 126,634.05
  4. Step 4: Simplify right side
    228,609x = 39,949,332,397.34
  5. Step 5: Solve for x
    x = 39,949,332,397.34/228,609
  6. Step 6: Final answer
    x = 174,749.60

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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.