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Finding the Fourth Proportional to 409,408.76, 614,297.46 and 222,139.64

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Solution

The fourth proportional to 409,408.76, 614,297.46 and 222,139.64 is: 333,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,408.76 : 614,297.46 = 222,139.64 : x
  2. Step 2: Convert to fraction form
    409,408.76/614,297.46 = 222,139.64/x
  3. Step 3: Cross multiply
    409,408.76x = 614,297.46 × 222,139.64
  4. Step 4: Simplify right side
    409,408.76x = 136,459,816,617.31
  5. Step 5: Solve for x
    x = 136,459,816,617.31/409,408.76
  6. Step 6: Final answer
    x = 333,309.47

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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.