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Finding the Fourth Proportional to 400,905.63, 601,238.73 and 218,508

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Solution

The fourth proportional to 400,905.63, 601,238.73 and 218,508 is: 327,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,905.63 : 601,238.73 = 218,508 : x
  2. Step 2: Convert to fraction form
    400,905.63/601,238.73 = 218,508/x
  3. Step 3: Cross multiply
    400,905.63x = 601,238.73 × 218,508
  4. Step 4: Simplify right side
    400,905.63x = 131,375,472,414.84
  5. Step 5: Solve for x
    x = 131,375,472,414.84/400,905.63
  6. Step 6: Final answer
    x = 327,696.75

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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.