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Finding the Fourth Proportional to 383,694.80, 576,233.40 and 278,632.40

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Solution

The fourth proportional to 383,694.80, 576,233.40 and 278,632.40 is: 418,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,694.80 : 576,233.40 = 278,632.40 : x
  2. Step 2: Convert to fraction form
    383,694.80/576,233.40 = 278,632.40/x
  3. Step 3: Cross multiply
    383,694.80x = 576,233.40 × 278,632.40
  4. Step 4: Simplify right side
    383,694.80x = 160,557,295,202.16
  5. Step 5: Solve for x
    x = 160,557,295,202.16/383,694.80
  6. Step 6: Final answer
    x = 418,450.54

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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.