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Finding the Fourth Proportional to 422,080, 633,120 and 126,592

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Solution

The fourth proportional to 422,080, 633,120 and 126,592 is: 189,888

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,080 : 633,120 = 126,592 : x
  2. Step 2: Convert to fraction form
    422,080/633,120 = 126,592/x
  3. Step 3: Cross multiply
    422,080x = 633,120 × 126,592
  4. Step 4: Simplify right side
    422,080x = 80,147,927,040
  5. Step 5: Solve for x
    x = 80,147,927,040/422,080
  6. Step 6: Final answer
    x = 189,888

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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.