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Finding the Fourth Proportional to 325,782.78, 489,211.61 and 219,847.34

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Solution

The fourth proportional to 325,782.78, 489,211.61 and 219,847.34 is: 330,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,782.78 : 489,211.61 = 219,847.34 : x
  2. Step 2: Convert to fraction form
    325,782.78/489,211.61 = 219,847.34/x
  3. Step 3: Cross multiply
    325,782.78x = 489,211.61 × 219,847.34
  4. Step 4: Simplify right side
    325,782.78x = 107,551,867,610.32
  5. Step 5: Solve for x
    x = 107,551,867,610.32/325,782.78
  6. Step 6: Final answer
    x = 330,133.68

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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.