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Finding the Fourth Proportional to 305,764.70, 422,155.13 and 198,640.04

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Solution

The fourth proportional to 305,764.70, 422,155.13 and 198,640.04 is: 274,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,764.70 : 422,155.13 = 198,640.04 : x
  2. Step 2: Convert to fraction form
    305,764.70/422,155.13 = 198,640.04/x
  3. Step 3: Cross multiply
    305,764.70x = 422,155.13 × 198,640.04
  4. Step 4: Simplify right side
    305,764.70x = 83,856,908,805.43
  5. Step 5: Solve for x
    x = 83,856,908,805.43/305,764.70
  6. Step 6: Final answer
    x = 274,253.08

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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.