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Finding the Fourth Proportional to 489,471.64, 675,481.28 and 274,627.24

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Solution

The fourth proportional to 489,471.64, 675,481.28 and 274,627.24 is: 378,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,471.64 : 675,481.28 = 274,627.24 : x
  2. Step 2: Convert to fraction form
    489,471.64/675,481.28 = 274,627.24/x
  3. Step 3: Cross multiply
    489,471.64x = 675,481.28 × 274,627.24
  4. Step 4: Simplify right side
    489,471.64x = 185,505,559,598.07
  5. Step 5: Solve for x
    x = 185,505,559,598.07/489,471.64
  6. Step 6: Final answer
    x = 378,991.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.