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Finding the Fourth Proportional to 311,692.72, 430,136.02 and 177,556.72

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Solution

The fourth proportional to 311,692.72, 430,136.02 and 177,556.72 is: 245,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,692.72 : 430,136.02 = 177,556.72 : x
  2. Step 2: Convert to fraction form
    311,692.72/430,136.02 = 177,556.72/x
  3. Step 3: Cross multiply
    311,692.72x = 430,136.02 × 177,556.72
  4. Step 4: Simplify right side
    311,692.72x = 76,373,540,865.05
  5. Step 5: Solve for x
    x = 76,373,540,865.05/311,692.72
  6. Step 6: Final answer
    x = 245,028.31

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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.