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Finding the Fourth Proportional to 419,035.92, 628,201.80 and 339,954

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Solution

The fourth proportional to 419,035.92, 628,201.80 and 339,954 is: 509,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,035.92 : 628,201.80 = 339,954 : x
  2. Step 2: Convert to fraction form
    419,035.92/628,201.80 = 339,954/x
  3. Step 3: Cross multiply
    419,035.92x = 628,201.80 × 339,954
  4. Step 4: Simplify right side
    419,035.92x = 213,559,714,717.20
  5. Step 5: Solve for x
    x = 213,559,714,717.20/419,035.92
  6. Step 6: Final answer
    x = 509,645.37

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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.