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Finding the Fourth Proportional to 311,266.80, 429,423.44 and 190,197.90

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Solution

The fourth proportional to 311,266.80, 429,423.44 and 190,197.90 is: 262,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,266.80 : 429,423.44 = 190,197.90 : x
  2. Step 2: Convert to fraction form
    311,266.80/429,423.44 = 190,197.90/x
  3. Step 3: Cross multiply
    311,266.80x = 429,423.44 × 190,197.90
  4. Step 4: Simplify right side
    311,266.80x = 81,675,436,498.78
  5. Step 5: Solve for x
    x = 81,675,436,498.78/311,266.80
  6. Step 6: Final answer
    x = 262,396.88

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1.5x scale

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.