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Finding the Fourth Proportional to 281,768.32, 422,864.52 and 218,433.52

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Solution

The fourth proportional to 281,768.32, 422,864.52 and 218,433.52 is: 327,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,768.32 : 422,864.52 = 218,433.52 : x
  2. Step 2: Convert to fraction form
    281,768.32/422,864.52 = 218,433.52/x
  3. Step 3: Cross multiply
    281,768.32x = 422,864.52 × 218,433.52
  4. Step 4: Simplify right side
    281,768.32x = 92,367,785,586.71
  5. Step 5: Solve for x
    x = 92,367,785,586.71/281,768.32
  6. Step 6: Final answer
    x = 327,814.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.