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Finding the Fourth Proportional to 311,393.42, 429,754.66 and 190,614.52

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Solution

The fourth proportional to 311,393.42, 429,754.66 and 190,614.52 is: 263,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,393.42 : 429,754.66 = 190,614.52 : x
  2. Step 2: Convert to fraction form
    311,393.42/429,754.66 = 190,614.52/x
  3. Step 3: Cross multiply
    311,393.42x = 429,754.66 × 190,614.52
  4. Step 4: Simplify right side
    311,393.42x = 81,917,478,233.66
  5. Step 5: Solve for x
    x = 81,917,478,233.66/311,393.42
  6. Step 6: Final answer
    x = 263,067.47

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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.