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Finding the Fourth Proportional to 311,266.80, 431,282.91 and 304,540.56

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Solution

The fourth proportional to 311,266.80, 431,282.91 and 304,540.56 is: 421,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,266.80 : 431,282.91 = 304,540.56 : x
  2. Step 2: Convert to fraction form
    311,266.80/431,282.91 = 304,540.56/x
  3. Step 3: Cross multiply
    311,266.80x = 431,282.91 × 304,540.56
  4. Step 4: Simplify right side
    311,266.80x = 131,343,138,929.83
  5. Step 5: Solve for x
    x = 131,343,138,929.83/311,266.80
  6. Step 6: Final answer
    x = 421,963.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.