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Finding the Fourth Proportional to 422,672.50, 583,347.72 and 261,579.43

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Solution

The fourth proportional to 422,672.50, 583,347.72 and 261,579.43 is: 361,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,672.50 : 583,347.72 = 261,579.43 : x
  2. Step 2: Convert to fraction form
    422,672.50/583,347.72 = 261,579.43/x
  3. Step 3: Cross multiply
    422,672.50x = 583,347.72 × 261,579.43
  4. Step 4: Simplify right side
    422,672.50x = 152,591,764,089.40
  5. Step 5: Solve for x
    x = 152,591,764,089.40/422,672.50
  6. Step 6: Final answer
    x = 361,016.54

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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.