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Finding the Fourth Proportional to 305,286.66, 457,836.71 and 211,122

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Solution

The fourth proportional to 305,286.66, 457,836.71 and 211,122 is: 316,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,286.66 : 457,836.71 = 211,122 : x
  2. Step 2: Convert to fraction form
    305,286.66/457,836.71 = 211,122/x
  3. Step 3: Cross multiply
    305,286.66x = 457,836.71 × 211,122
  4. Step 4: Simplify right side
    305,286.66x = 96,659,400,833.01
  5. Step 5: Solve for x
    x = 96,659,400,833.01/305,286.66
  6. Step 6: Final answer
    x = 316,618.49

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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.