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Finding the Fourth Proportional to 397,639.63, 548,748.34 and 216,351.71

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Solution

The fourth proportional to 397,639.63, 548,748.34 and 216,351.71 is: 298,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,639.63 : 548,748.34 = 216,351.71 : x
  2. Step 2: Convert to fraction form
    397,639.63/548,748.34 = 216,351.71/x
  3. Step 3: Cross multiply
    397,639.63x = 548,748.34 × 216,351.71
  4. Step 4: Simplify right side
    397,639.63x = 118,722,640,491.85
  5. Step 5: Solve for x
    x = 118,722,640,491.85/397,639.63
  6. Step 6: Final answer
    x = 298,568.43

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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.