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Finding the Fourth Proportional to 305,894.08, 422,287.32 and 191,236.42

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Solution

The fourth proportional to 305,894.08, 422,287.32 and 191,236.42 is: 264,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,894.08 : 422,287.32 = 191,236.42 : x
  2. Step 2: Convert to fraction form
    305,894.08/422,287.32 = 191,236.42/x
  3. Step 3: Cross multiply
    305,894.08x = 422,287.32 × 191,236.42
  4. Step 4: Simplify right side
    305,894.08x = 80,756,715,288.19
  5. Step 5: Solve for x
    x = 80,756,715,288.19/305,894.08
  6. Step 6: Final answer
    x = 264,002.22

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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.