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Finding the Fourth Proportional to 414,415.87, 621,623.90 and 274,141.69

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Solution

The fourth proportional to 414,415.87, 621,623.90 and 274,141.69 is: 411,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,415.87 : 621,623.90 = 274,141.69 : x
  2. Step 2: Convert to fraction form
    414,415.87/621,623.90 = 274,141.69/x
  3. Step 3: Cross multiply
    414,415.87x = 621,623.90 × 274,141.69
  4. Step 4: Simplify right side
    414,415.87x = 170,413,025,119.68
  5. Step 5: Solve for x
    x = 170,413,025,119.68/414,415.87
  6. Step 6: Final answer
    x = 411,212.59

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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.