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Finding the Fourth Proportional to 254,624.58, 381,215.16 and 211,584.42

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Solution

The fourth proportional to 254,624.58, 381,215.16 and 211,584.42 is: 316,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,624.58 : 381,215.16 = 211,584.42 : x
  2. Step 2: Convert to fraction form
    254,624.58/381,215.16 = 211,584.42/x
  3. Step 3: Cross multiply
    254,624.58x = 381,215.16 × 211,584.42
  4. Step 4: Simplify right side
    254,624.58x = 80,659,188,523.81
  5. Step 5: Solve for x
    x = 80,659,188,523.81/254,624.58
  6. Step 6: Final answer
    x = 316,776.91

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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.