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Finding the Fourth Proportional to 287,638.83, 396,629.87 and 195,817.50

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Solution

The fourth proportional to 287,638.83, 396,629.87 and 195,817.50 is: 270,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,638.83 : 396,629.87 = 195,817.50 : x
  2. Step 2: Convert to fraction form
    287,638.83/396,629.87 = 195,817.50/x
  3. Step 3: Cross multiply
    287,638.83x = 396,629.87 × 195,817.50
  4. Step 4: Simplify right side
    287,638.83x = 77,667,068,589.64
  5. Step 5: Solve for x
    x = 77,667,068,589.64/287,638.83
  6. Step 6: Final answer
    x = 270,015.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.