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Finding the Fourth Proportional to 419,114.45, 628,665.53 and 103,571.36

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Solution

The fourth proportional to 419,114.45, 628,665.53 and 103,571.36 is: 155,355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,114.45 : 628,665.53 = 103,571.36 : x
  2. Step 2: Convert to fraction form
    419,114.45/628,665.53 = 103,571.36/x
  3. Step 3: Cross multiply
    419,114.45x = 628,665.53 × 103,571.36
  4. Step 4: Simplify right side
    419,114.45x = 65,111,745,757.81
  5. Step 5: Solve for x
    x = 65,111,745,757.81/419,114.45
  6. Step 6: Final answer
    x = 155,355.52

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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.