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Finding the Fourth Proportional to 481,635.46, 664,478.49 and 311,963.14

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Solution

The fourth proportional to 481,635.46, 664,478.49 and 311,963.14 is: 430,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,635.46 : 664,478.49 = 311,963.14 : x
  2. Step 2: Convert to fraction form
    481,635.46/664,478.49 = 311,963.14/x
  3. Step 3: Cross multiply
    481,635.46x = 664,478.49 × 311,963.14
  4. Step 4: Simplify right side
    481,635.46x = 207,292,796,202.86
  5. Step 5: Solve for x
    x = 207,292,796,202.86/481,635.46
  6. Step 6: Final answer
    x = 430,393.55

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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.