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Finding the Fourth Proportional to 419,511.56, 628,704.79 and 229,686.03

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Solution

The fourth proportional to 419,511.56, 628,704.79 and 229,686.03 is: 344,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,511.56 : 628,704.79 = 229,686.03 : x
  2. Step 2: Convert to fraction form
    419,511.56/628,704.79 = 229,686.03/x
  3. Step 3: Cross multiply
    419,511.56x = 628,704.79 × 229,686.03
  4. Step 4: Simplify right side
    419,511.56x = 144,404,706,682.87
  5. Step 5: Solve for x
    x = 144,404,706,682.87/419,511.56
  6. Step 6: Final answer
    x = 344,221.05

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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.