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Finding the Fourth Proportional to 414,929.70, 622,394.55 and 408,708.90

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Solution

The fourth proportional to 414,929.70, 622,394.55 and 408,708.90 is: 613,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,929.70 : 622,394.55 = 408,708.90 : x
  2. Step 2: Convert to fraction form
    414,929.70/622,394.55 = 408,708.90/x
  3. Step 3: Cross multiply
    414,929.70x = 622,394.55 × 408,708.90
  4. Step 4: Simplify right side
    414,929.70x = 254,378,191,896.50
  5. Step 5: Solve for x
    x = 254,378,191,896.50/414,929.70
  6. Step 6: Final answer
    x = 613,063.35

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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.