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Finding the Fourth Proportional to 428,199.75, 642,274.92 and 128,673.90

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Solution

The fourth proportional to 428,199.75, 642,274.92 and 128,673.90 is: 193,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,199.75 : 642,274.92 = 128,673.90 : x
  2. Step 2: Convert to fraction form
    428,199.75/642,274.92 = 128,673.90/x
  3. Step 3: Cross multiply
    428,199.75x = 642,274.92 × 128,673.90
  4. Step 4: Simplify right side
    428,199.75x = 82,644,018,828.59
  5. Step 5: Solve for x
    x = 82,644,018,828.59/428,199.75
  6. Step 6: Final answer
    x = 193,003.43

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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.