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Finding the Fourth Proportional to 310,843.21, 428,925.30 and 196,078.54

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Solution

The fourth proportional to 310,843.21, 428,925.30 and 196,078.54 is: 270,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,843.21 : 428,925.30 = 196,078.54 : x
  2. Step 2: Convert to fraction form
    310,843.21/428,925.30 = 196,078.54/x
  3. Step 3: Cross multiply
    310,843.21x = 428,925.30 × 196,078.54
  4. Step 4: Simplify right side
    310,843.21x = 84,103,046,593.06
  5. Step 5: Solve for x
    x = 84,103,046,593.06/310,843.21
  6. Step 6: Final answer
    x = 270,564.21

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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.