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Finding the Fourth Proportional to 414,178.55, 620,455.90 and 214,629.83

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Solution

The fourth proportional to 414,178.55, 620,455.90 and 214,629.83 is: 321,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,178.55 : 620,455.90 = 214,629.83 : x
  2. Step 2: Convert to fraction form
    414,178.55/620,455.90 = 214,629.83/x
  3. Step 3: Cross multiply
    414,178.55x = 620,455.90 × 214,629.83
  4. Step 4: Simplify right side
    414,178.55x = 133,168,346,919.85
  5. Step 5: Solve for x
    x = 133,168,346,919.85/414,178.55
  6. Step 6: Final answer
    x = 321,524.01

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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.