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Finding the Fourth Proportional to 310,843.46, 428,925.65 and 196,078.79

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Solution

The fourth proportional to 310,843.46, 428,925.65 and 196,078.79 is: 270,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,843.46 : 428,925.65 = 196,078.79 : x
  2. Step 2: Convert to fraction form
    310,843.46/428,925.65 = 196,078.79/x
  3. Step 3: Cross multiply
    310,843.46x = 428,925.65 × 196,078.79
  4. Step 4: Simplify right side
    310,843.46x = 84,103,221,471.57
  5. Step 5: Solve for x
    x = 84,103,221,471.57/310,843.46
  6. Step 6: Final answer
    x = 270,564.55

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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.