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Finding the Fourth Proportional to 513,692.28, 769,493.94 and 419,259

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Solution

The fourth proportional to 513,692.28, 769,493.94 and 419,259 is: 628,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,692.28 : 769,493.94 = 419,259 : x
  2. Step 2: Convert to fraction form
    513,692.28/769,493.94 = 419,259/x
  3. Step 3: Cross multiply
    513,692.28x = 769,493.94 × 419,259
  4. Step 4: Simplify right side
    513,692.28x = 322,617,259,790.46
  5. Step 5: Solve for x
    x = 322,617,259,790.46/513,692.28
  6. Step 6: Final answer
    x = 628,036.03

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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.