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Finding the Fourth Proportional to 489,600.78, 675,642.75 and 274,745.10

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Solution

The fourth proportional to 489,600.78, 675,642.75 and 274,745.10 is: 379,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,600.78 : 675,642.75 = 274,745.10 : x
  2. Step 2: Convert to fraction form
    489,600.78/675,642.75 = 274,745.10/x
  3. Step 3: Cross multiply
    489,600.78x = 675,642.75 × 274,745.10
  4. Step 4: Simplify right side
    489,600.78x = 185,629,534,913.03
  5. Step 5: Solve for x
    x = 185,629,534,913.03/489,600.78
  6. Step 6: Final answer
    x = 379,144.69

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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.