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Finding the Fourth Proportional to 305,967.94, 422,296.50 and 195,515.98

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Solution

The fourth proportional to 305,967.94, 422,296.50 and 195,515.98 is: 269,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,967.94 : 422,296.50 = 195,515.98 : x
  2. Step 2: Convert to fraction form
    305,967.94/422,296.50 = 195,515.98/x
  3. Step 3: Cross multiply
    305,967.94x = 422,296.50 × 195,515.98
  4. Step 4: Simplify right side
    305,967.94x = 82,565,714,048.07
  5. Step 5: Solve for x
    x = 82,565,714,048.07/305,967.94
  6. Step 6: Final answer
    x = 269,850.87

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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.