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Finding the Fourth Proportional to 325,843.20, 489,202.20 and 208,036.80

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Solution

The fourth proportional to 325,843.20, 489,202.20 and 208,036.80 is: 312,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,843.20 : 489,202.20 = 208,036.80 : x
  2. Step 2: Convert to fraction form
    325,843.20/489,202.20 = 208,036.80/x
  3. Step 3: Cross multiply
    325,843.20x = 489,202.20 × 208,036.80
  4. Step 4: Simplify right side
    325,843.20x = 101,772,060,240.96
  5. Step 5: Solve for x
    x = 101,772,060,240.96/325,843.20
  6. Step 6: Final answer
    x = 312,334.46

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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.