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Finding the Fourth Proportional to 310,906.63, 429,012.57 and 196,141.78

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Solution

The fourth proportional to 310,906.63, 429,012.57 and 196,141.78 is: 270,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,906.63 : 429,012.57 = 196,141.78 : x
  2. Step 2: Convert to fraction form
    310,906.63/429,012.57 = 196,141.78/x
  3. Step 3: Cross multiply
    310,906.63x = 429,012.57 × 196,141.78
  4. Step 4: Simplify right side
    310,906.63x = 84,147,288,049.64
  5. Step 5: Solve for x
    x = 84,147,288,049.64/310,906.63
  6. Step 6: Final answer
    x = 270,651.32

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1.5x scale

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.