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Finding the Fourth Proportional to 305,293.44, 457,846.80 and 211,128.78

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Solution

The fourth proportional to 305,293.44, 457,846.80 and 211,128.78 is: 316,628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,293.44 : 457,846.80 = 211,128.78 : x
  2. Step 2: Convert to fraction form
    305,293.44/457,846.80 = 211,128.78/x
  3. Step 3: Cross multiply
    305,293.44x = 457,846.80 × 211,128.78
  4. Step 4: Simplify right side
    305,293.44x = 96,664,636,310.90
  5. Step 5: Solve for x
    x = 96,664,636,310.90/305,293.44
  6. Step 6: Final answer
    x = 316,628.61

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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.