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Finding the Fourth Proportional to 322,928.70, 445,703.28 and 213,840.76

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Solution

The fourth proportional to 322,928.70, 445,703.28 and 213,840.76 is: 295,141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,928.70 : 445,703.28 = 213,840.76 : x
  2. Step 2: Convert to fraction form
    322,928.70/445,703.28 = 213,840.76/x
  3. Step 3: Cross multiply
    322,928.70x = 445,703.28 × 213,840.76
  4. Step 4: Simplify right side
    322,928.70x = 95,309,528,129.69
  5. Step 5: Solve for x
    x = 95,309,528,129.69/322,928.70
  6. Step 6: Final answer
    x = 295,141.09

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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.