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Finding the Fourth Proportional to 481,536.42, 664,299.78 and 311,825.22

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Solution

The fourth proportional to 481,536.42, 664,299.78 and 311,825.22 is: 430,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,536.42 : 664,299.78 = 311,825.22 : x
  2. Step 2: Convert to fraction form
    481,536.42/664,299.78 = 311,825.22/x
  3. Step 3: Cross multiply
    481,536.42x = 664,299.78 × 311,825.22
  4. Step 4: Simplify right side
    481,536.42x = 207,145,425,044.45
  5. Step 5: Solve for x
    x = 207,145,425,044.45/481,536.42
  6. Step 6: Final answer
    x = 430,176.03

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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.