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Finding the Fourth Proportional to 419,692.41, 629,011.80 and 330,594.03

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Solution

The fourth proportional to 419,692.41, 629,011.80 and 330,594.03 is: 495,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,692.41 : 629,011.80 = 330,594.03 : x
  2. Step 2: Convert to fraction form
    419,692.41/629,011.80 = 330,594.03/x
  3. Step 3: Cross multiply
    419,692.41x = 629,011.80 × 330,594.03
  4. Step 4: Simplify right side
    419,692.41x = 207,947,545,879.55
  5. Step 5: Solve for x
    x = 207,947,545,879.55/419,692.41
  6. Step 6: Final answer
    x = 495,476.07

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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.