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Finding the Fourth Proportional to 378,708.80, 522,664.43 and 217,563.54

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Solution

The fourth proportional to 378,708.80, 522,664.43 and 217,563.54 is: 300,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,708.80 : 522,664.43 = 217,563.54 : x
  2. Step 2: Convert to fraction form
    378,708.80/522,664.43 = 217,563.54/x
  3. Step 3: Cross multiply
    378,708.80x = 522,664.43 × 217,563.54
  4. Step 4: Simplify right side
    378,708.80x = 113,712,722,535.07
  5. Step 5: Solve for x
    x = 113,712,722,535.07/378,708.80
  6. Step 6: Final answer
    x = 300,264.28

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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.