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Finding the Fourth Proportional to 318,692.80, 477,817.60 and 141,102.84

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Solution

The fourth proportional to 318,692.80, 477,817.60 and 141,102.84 is: 211,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,692.80 : 477,817.60 = 141,102.84 : x
  2. Step 2: Convert to fraction form
    318,692.80/477,817.60 = 141,102.84/x
  3. Step 3: Cross multiply
    318,692.80x = 477,817.60 × 141,102.84
  4. Step 4: Simplify right side
    318,692.80x = 67,421,420,361.98
  5. Step 5: Solve for x
    x = 67,421,420,361.98/318,692.80
  6. Step 6: Final answer
    x = 211,556.15

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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.