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Finding the Fourth Proportional to 643,692.20, 965,538.30 and 394,514.60

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Solution

The fourth proportional to 643,692.20, 965,538.30 and 394,514.60 is: 591,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,692.20 : 965,538.30 = 394,514.60 : x
  2. Step 2: Convert to fraction form
    643,692.20/965,538.30 = 394,514.60/x
  3. Step 3: Cross multiply
    643,692.20x = 965,538.30 × 394,514.60
  4. Step 4: Simplify right side
    643,692.20x = 380,918,956,209.18
  5. Step 5: Solve for x
    x = 380,918,956,209.18/643,692.20
  6. Step 6: Final answer
    x = 591,771.90

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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.