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Finding the Fourth Proportional to 378,816.82, 522,963.76 and 276,727.66

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Solution

The fourth proportional to 378,816.82, 522,963.76 and 276,727.66 is: 382,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,816.82 : 522,963.76 = 276,727.66 : x
  2. Step 2: Convert to fraction form
    378,816.82/522,963.76 = 276,727.66/x
  3. Step 3: Cross multiply
    378,816.82x = 522,963.76 × 276,727.66
  4. Step 4: Simplify right side
    378,816.82x = 144,718,537,569.60
  5. Step 5: Solve for x
    x = 144,718,537,569.60/378,816.82
  6. Step 6: Final answer
    x = 382,027.75

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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.