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Finding the Fourth Proportional to 428,940.93, 642,993 and 204,240.99

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Solution

The fourth proportional to 428,940.93, 642,993 and 204,240.99 is: 306,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,940.93 : 642,993 = 204,240.99 : x
  2. Step 2: Convert to fraction form
    428,940.93/642,993 = 204,240.99/x
  3. Step 3: Cross multiply
    428,940.93x = 642,993 × 204,240.99
  4. Step 4: Simplify right side
    428,940.93x = 131,325,526,883.07
  5. Step 5: Solve for x
    x = 131,325,526,883.07/428,940.93
  6. Step 6: Final answer
    x = 306,162.27

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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.