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Finding the Fourth Proportional to 414,420.64, 622,212.54 and 212,161.21

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Solution

The fourth proportional to 414,420.64, 622,212.54 and 212,161.21 is: 318,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,420.64 : 622,212.54 = 212,161.21 : x
  2. Step 2: Convert to fraction form
    414,420.64/622,212.54 = 212,161.21/x
  3. Step 3: Cross multiply
    414,420.64x = 622,212.54 × 212,161.21
  4. Step 4: Simplify right side
    414,420.64x = 132,009,365,363.57
  5. Step 5: Solve for x
    x = 132,009,365,363.57/414,420.64
  6. Step 6: Final answer
    x = 318,539.55

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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.