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Finding the Fourth Proportional to 305,942.94, 422,262 and 195,490.98

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Solution

The fourth proportional to 305,942.94, 422,262 and 195,490.98 is: 269,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,942.94 : 422,262 = 195,490.98 : x
  2. Step 2: Convert to fraction form
    305,942.94/422,262 = 195,490.98/x
  3. Step 3: Cross multiply
    305,942.94x = 422,262 × 195,490.98
  4. Step 4: Simplify right side
    305,942.94x = 82,548,412,196.76
  5. Step 5: Solve for x
    x = 82,548,412,196.76/305,942.94
  6. Step 6: Final answer
    x = 269,816.37

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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.