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Finding the Fourth Proportional to 414,434.64, 620,314.92 and 214,480.20

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Solution

The fourth proportional to 414,434.64, 620,314.92 and 214,480.20 is: 321,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,434.64 : 620,314.92 = 214,480.20 : x
  2. Step 2: Convert to fraction form
    414,434.64/620,314.92 = 214,480.20/x
  3. Step 3: Cross multiply
    414,434.64x = 620,314.92 × 214,480.20
  4. Step 4: Simplify right side
    414,434.64x = 133,045,268,104.58
  5. Step 5: Solve for x
    x = 133,045,268,104.58/414,434.64
  6. Step 6: Final answer
    x = 321,028.35

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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.