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Finding the Fourth Proportional to 422,998.54, 583,736.43 and 261,821.50

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Solution

The fourth proportional to 422,998.54, 583,736.43 and 261,821.50 is: 361,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,998.54 : 583,736.43 = 261,821.50 : x
  2. Step 2: Convert to fraction form
    422,998.54/583,736.43 = 261,821.50/x
  3. Step 3: Cross multiply
    422,998.54x = 583,736.43 × 261,821.50
  4. Step 4: Simplify right side
    422,998.54x = 152,834,747,707.25
  5. Step 5: Solve for x
    x = 152,834,747,707.25/422,998.54
  6. Step 6: Final answer
    x = 361,312.71

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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.