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Finding the Fourth Proportional to 304,923, 420,793.74 and 170,787

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Solution

The fourth proportional to 304,923, 420,793.74 and 170,787 is: 235,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,923 : 420,793.74 = 170,787 : x
  2. Step 2: Convert to fraction form
    304,923/420,793.74 = 170,787/x
  3. Step 3: Cross multiply
    304,923x = 420,793.74 × 170,787
  4. Step 4: Simplify right side
    304,923x = 71,866,100,473.38
  5. Step 5: Solve for x
    x = 71,866,100,473.38/304,923
  6. Step 6: Final answer
    x = 235,686.06

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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.