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Finding the Fourth Proportional to 428,511.23, 642,213.22 and 203,940.48

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Solution

The fourth proportional to 428,511.23, 642,213.22 and 203,940.48 is: 305,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,511.23 : 642,213.22 = 203,940.48 : x
  2. Step 2: Convert to fraction form
    428,511.23/642,213.22 = 203,940.48/x
  3. Step 3: Cross multiply
    428,511.23x = 642,213.22 × 203,940.48
  4. Step 4: Simplify right side
    428,511.23x = 130,973,272,349.15
  5. Step 5: Solve for x
    x = 130,973,272,349.15/428,511.23
  6. Step 6: Final answer
    x = 305,647.23

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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.