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Finding the Fourth Proportional to 325,858.20, 489,224.70 and 208,051.80

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Solution

The fourth proportional to 325,858.20, 489,224.70 and 208,051.80 is: 312,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,858.20 : 489,224.70 = 208,051.80 : x
  2. Step 2: Convert to fraction form
    325,858.20/489,224.70 = 208,051.80/x
  3. Step 3: Cross multiply
    325,858.20x = 489,224.70 × 208,051.80
  4. Step 4: Simplify right side
    325,858.20x = 101,784,079,439.46
  5. Step 5: Solve for x
    x = 101,784,079,439.46/325,858.20
  6. Step 6: Final answer
    x = 312,356.97

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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.