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Finding the Fourth Proportional to 305,940.94, 422,258.94 and 195,488.98

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Solution

The fourth proportional to 305,940.94, 422,258.94 and 195,488.98 is: 269,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,940.94 : 422,258.94 = 195,488.98 : x
  2. Step 2: Convert to fraction form
    305,940.94/422,258.94 = 195,488.98/x
  3. Step 3: Cross multiply
    305,940.94x = 422,258.94 × 195,488.98
  4. Step 4: Simplify right side
    305,940.94x = 82,546,969,476.48
  5. Step 5: Solve for x
    x = 82,546,969,476.48/305,940.94
  6. Step 6: Final answer
    x = 269,813.41

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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.