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Finding the Fourth Proportional to 325,835.20, 489,190.20 and 208,028.80

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Solution

The fourth proportional to 325,835.20, 489,190.20 and 208,028.80 is: 312,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,835.20 : 489,190.20 = 208,028.80 : x
  2. Step 2: Convert to fraction form
    325,835.20/489,190.20 = 208,028.80/x
  3. Step 3: Cross multiply
    325,835.20x = 489,190.20 × 208,028.80
  4. Step 4: Simplify right side
    325,835.20x = 101,765,650,277.76
  5. Step 5: Solve for x
    x = 101,765,650,277.76/325,835.20
  6. Step 6: Final answer
    x = 312,322.46

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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.