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Finding the Fourth Proportional to 300,850.72, 414,934.82 and 255,678.22

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Solution

The fourth proportional to 300,850.72, 414,934.82 and 255,678.22 is: 352,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,850.72 : 414,934.82 = 255,678.22 : x
  2. Step 2: Convert to fraction form
    300,850.72/414,934.82 = 255,678.22/x
  3. Step 3: Cross multiply
    300,850.72x = 414,934.82 × 255,678.22
  4. Step 4: Simplify right side
    300,850.72x = 106,089,796,193.62
  5. Step 5: Solve for x
    x = 106,089,796,193.62/300,850.72
  6. Step 6: Final answer
    x = 352,632.68

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1.5x scale

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.