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Finding the Fourth Proportional to 420,954.50, 631,355.89 and 121,361.48

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Solution

The fourth proportional to 420,954.50, 631,355.89 and 121,361.48 is: 182,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,954.50 : 631,355.89 = 121,361.48 : x
  2. Step 2: Convert to fraction form
    420,954.50/631,355.89 = 121,361.48/x
  3. Step 3: Cross multiply
    420,954.50x = 631,355.89 × 121,361.48
  4. Step 4: Simplify right side
    420,954.50x = 76,622,281,756.93
  5. Step 5: Solve for x
    x = 76,622,281,756.93/420,954.50
  6. Step 6: Final answer
    x = 182,020.34

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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.