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Finding the Fourth Proportional to 398,009.70, 548,319.24 and 276,942.78

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Solution

The fourth proportional to 398,009.70, 548,319.24 and 276,942.78 is: 381,531.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,009.70 : 548,319.24 = 276,942.78 : x
  2. Step 2: Convert to fraction form
    398,009.70/548,319.24 = 276,942.78/x
  3. Step 3: Cross multiply
    398,009.70x = 548,319.24 × 276,942.78
  4. Step 4: Simplify right side
    398,009.70x = 151,853,054,653.09
  5. Step 5: Solve for x
    x = 151,853,054,653.09/398,009.70
  6. Step 6: Final answer
    x = 381,531.04

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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.