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Finding the Fourth Proportional to 414,039.40, 620,616.14 and 214,158.54

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Solution

The fourth proportional to 414,039.40, 620,616.14 and 214,158.54 is: 321,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,039.40 : 620,616.14 = 214,158.54 : x
  2. Step 2: Convert to fraction form
    414,039.40/620,616.14 = 214,158.54/x
  3. Step 3: Cross multiply
    414,039.40x = 620,616.14 × 214,158.54
  4. Step 4: Simplify right side
    414,039.40x = 132,910,246,442.84
  5. Step 5: Solve for x
    x = 132,910,246,442.84/414,039.40
  6. Step 6: Final answer
    x = 321,008.69

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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.