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Finding the Fourth Proportional to 419,544.45, 628,895.32 and 135,025.92

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Solution

The fourth proportional to 419,544.45, 628,895.32 and 135,025.92 is: 202,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,544.45 : 628,895.32 = 135,025.92 : x
  2. Step 2: Convert to fraction form
    419,544.45/628,895.32 = 135,025.92/x
  3. Step 3: Cross multiply
    419,544.45x = 628,895.32 × 135,025.92
  4. Step 4: Simplify right side
    419,544.45x = 84,917,169,166.69
  5. Step 5: Solve for x
    x = 84,917,169,166.69/419,544.45
  6. Step 6: Final answer
    x = 202,403.27

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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.