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Finding the Fourth Proportional to 414,187.59, 621,742.59 and 214,454.34

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Solution

The fourth proportional to 414,187.59, 621,742.59 and 214,454.34 is: 321,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,187.59 : 621,742.59 = 214,454.34 : x
  2. Step 2: Convert to fraction form
    414,187.59/621,742.59 = 214,454.34/x
  3. Step 3: Cross multiply
    414,187.59x = 621,742.59 × 214,454.34
  4. Step 4: Simplify right side
    414,187.59x = 133,335,396,788.34
  5. Step 5: Solve for x
    x = 133,335,396,788.34/414,187.59
  6. Step 6: Final answer
    x = 321,920.31

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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.