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Finding the Fourth Proportional to 489,171.44, 675,063.96 and 285,216.80

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Solution

The fourth proportional to 489,171.44, 675,063.96 and 285,216.80 is: 393,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,171.44 : 675,063.96 = 285,216.80 : x
  2. Step 2: Convert to fraction form
    489,171.44/675,063.96 = 285,216.80/x
  3. Step 3: Cross multiply
    489,171.44x = 675,063.96 × 285,216.80
  4. Step 4: Simplify right side
    489,171.44x = 192,539,582,466.53
  5. Step 5: Solve for x
    x = 192,539,582,466.53/489,171.44
  6. Step 6: Final answer
    x = 393,603.48

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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.