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Finding the Fourth Proportional to 419,647.68, 628,908.57 and 229,822.56

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Solution

The fourth proportional to 419,647.68, 628,908.57 and 229,822.56 is: 344,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,647.68 : 628,908.57 = 229,822.56 : x
  2. Step 2: Convert to fraction form
    419,647.68/628,908.57 = 229,822.56/x
  3. Step 3: Cross multiply
    419,647.68x = 628,908.57 × 229,822.56
  4. Step 4: Simplify right side
    419,647.68x = 144,537,377,563.34
  5. Step 5: Solve for x
    x = 144,537,377,563.34/419,647.68
  6. Step 6: Final answer
    x = 344,425.54

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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.