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Finding the Fourth Proportional to 481,219.75, 664,258.49 and 280,015.75

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Solution

The fourth proportional to 481,219.75, 664,258.49 and 280,015.75 is: 386,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,219.75 : 664,258.49 = 280,015.75 : x
  2. Step 2: Convert to fraction form
    481,219.75/664,258.49 = 280,015.75/x
  3. Step 3: Cross multiply
    481,219.75x = 664,258.49 × 280,015.75
  4. Step 4: Simplify right side
    481,219.75x = 186,002,839,271.22
  5. Step 5: Solve for x
    x = 186,002,839,271.22/481,219.75
  6. Step 6: Final answer
    x = 386,523.70

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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.