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Finding the Fourth Proportional to 489,204.66, 675,134.37 and 282,481.77

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Solution

The fourth proportional to 489,204.66, 675,134.37 and 282,481.77 is: 389,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,204.66 : 675,134.37 = 282,481.77 : x
  2. Step 2: Convert to fraction form
    489,204.66/675,134.37 = 282,481.77/x
  3. Step 3: Cross multiply
    489,204.66x = 675,134.37 × 282,481.77
  4. Step 4: Simplify right side
    489,204.66x = 190,713,153,297.88
  5. Step 5: Solve for x
    x = 190,713,153,297.88/489,204.66
  6. Step 6: Final answer
    x = 389,843.29

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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.