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Finding the Fourth Proportional to 451,679.82, 677,782.20 and 202,361.82

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Solution

The fourth proportional to 451,679.82, 677,782.20 and 202,361.82 is: 303,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,679.82 : 677,782.20 = 202,361.82 : x
  2. Step 2: Convert to fraction form
    451,679.82/677,782.20 = 202,361.82/x
  3. Step 3: Cross multiply
    451,679.82x = 677,782.20 × 202,361.82
  4. Step 4: Simplify right side
    451,679.82x = 137,157,239,555.60
  5. Step 5: Solve for x
    x = 137,157,239,555.60/451,679.82
  6. Step 6: Final answer
    x = 303,660.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.