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Finding the Fourth Proportional to 324,288, 486,432 and 127,296

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Solution

The fourth proportional to 324,288, 486,432 and 127,296 is: 190,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,288 : 486,432 = 127,296 : x
  2. Step 2: Convert to fraction form
    324,288/486,432 = 127,296/x
  3. Step 3: Cross multiply
    324,288x = 486,432 × 127,296
  4. Step 4: Simplify right side
    324,288x = 61,920,847,872
  5. Step 5: Solve for x
    x = 61,920,847,872/324,288
  6. Step 6: Final answer
    x = 190,944

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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.