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Finding the Fourth Proportional to 325,784.28, 489,213.86 and 219,848.84

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Solution

The fourth proportional to 325,784.28, 489,213.86 and 219,848.84 is: 330,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,784.28 : 489,213.86 = 219,848.84 : x
  2. Step 2: Convert to fraction form
    325,784.28/489,213.86 = 219,848.84/x
  3. Step 3: Cross multiply
    325,784.28x = 489,213.86 × 219,848.84
  4. Step 4: Simplify right side
    325,784.28x = 107,553,096,087.61
  5. Step 5: Solve for x
    x = 107,553,096,087.61/325,784.28
  6. Step 6: Final answer
    x = 330,135.93

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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.