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Finding the Fourth Proportional to 422,997.54, 583,735.05 and 261,820.50

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Solution

The fourth proportional to 422,997.54, 583,735.05 and 261,820.50 is: 361,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,997.54 : 583,735.05 = 261,820.50 : x
  2. Step 2: Convert to fraction form
    422,997.54/583,735.05 = 261,820.50/x
  3. Step 3: Cross multiply
    422,997.54x = 583,735.05 × 261,820.50
  4. Step 4: Simplify right side
    422,997.54x = 152,833,802,658.53
  5. Step 5: Solve for x
    x = 152,833,802,658.53/422,997.54
  6. Step 6: Final answer
    x = 361,311.33

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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.