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Finding the Fourth Proportional to 428,090.74, 642,142.49 and 203,474.30

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Solution

The fourth proportional to 428,090.74, 642,142.49 and 203,474.30 is: 305,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,090.74 : 642,142.49 = 203,474.30 : x
  2. Step 2: Convert to fraction form
    428,090.74/642,142.49 = 203,474.30/x
  3. Step 3: Cross multiply
    428,090.74x = 642,142.49 × 203,474.30
  4. Step 4: Simplify right side
    428,090.74x = 130,659,489,424.92
  5. Step 5: Solve for x
    x = 130,659,489,424.92/428,090.74
  6. Step 6: Final answer
    x = 305,214.47

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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.