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Finding the Fourth Proportional to 378,708, 522,007.09 and 276,571.45

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Solution

The fourth proportional to 378,708, 522,007.09 and 276,571.45 is: 381,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,708 : 522,007.09 = 276,571.45 : x
  2. Step 2: Convert to fraction form
    378,708/522,007.09 = 276,571.45/x
  3. Step 3: Cross multiply
    378,708x = 522,007.09 × 276,571.45
  4. Step 4: Simplify right side
    378,708x = 144,372,257,791.58
  5. Step 5: Solve for x
    x = 144,372,257,791.58/378,708
  6. Step 6: Final answer
    x = 381,223.15

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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.