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Finding the Fourth Proportional to 428,326.88, 642,378.36 and 128,727.32

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Solution

The fourth proportional to 428,326.88, 642,378.36 and 128,727.32 is: 193,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,326.88 : 642,378.36 = 128,727.32 : x
  2. Step 2: Convert to fraction form
    428,326.88/642,378.36 = 128,727.32/x
  3. Step 3: Cross multiply
    428,326.88x = 642,378.36 × 128,727.32
  4. Step 4: Simplify right side
    428,326.88x = 82,691,644,708.80
  5. Step 5: Solve for x
    x = 82,691,644,708.80/428,326.88
  6. Step 6: Final answer
    x = 193,057.33

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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.