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Finding the Fourth Proportional to 419,579.45, 629,303.86 and 230,133

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Solution

The fourth proportional to 419,579.45, 629,303.86 and 230,133 is: 345,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,579.45 : 629,303.86 = 230,133 : x
  2. Step 2: Convert to fraction form
    419,579.45/629,303.86 = 230,133/x
  3. Step 3: Cross multiply
    419,579.45x = 629,303.86 × 230,133
  4. Step 4: Simplify right side
    419,579.45x = 144,823,585,213.38
  5. Step 5: Solve for x
    x = 144,823,585,213.38/419,579.45
  6. Step 6: Final answer
    x = 345,163.68

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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.