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Finding the Fourth Proportional to 397,794.39, 548,969.75 and 216,512.90

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Solution

The fourth proportional to 397,794.39, 548,969.75 and 216,512.90 is: 298,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,794.39 : 548,969.75 = 216,512.90 : x
  2. Step 2: Convert to fraction form
    397,794.39/548,969.75 = 216,512.90/x
  3. Step 3: Cross multiply
    397,794.39x = 548,969.75 × 216,512.90
  4. Step 4: Simplify right side
    397,794.39x = 118,859,032,845.81
  5. Step 5: Solve for x
    x = 118,859,032,845.81/397,794.39
  6. Step 6: Final answer
    x = 298,795.14

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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.