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Finding the Fourth Proportional to 414,178.92, 620,456.46 and 214,630.21

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Solution

The fourth proportional to 414,178.92, 620,456.46 and 214,630.21 is: 321,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,178.92 : 620,456.46 = 214,630.21 : x
  2. Step 2: Convert to fraction form
    414,178.92/620,456.46 = 214,630.21/x
  3. Step 3: Cross multiply
    414,178.92x = 620,456.46 × 214,630.21
  4. Step 4: Simplify right side
    414,178.92x = 133,168,701,081.23
  5. Step 5: Solve for x
    x = 133,168,701,081.23/414,178.92
  6. Step 6: Final answer
    x = 321,524.57

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1.5x scale

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.