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Finding the Fourth Proportional to 311,267.30, 429,424.14 and 190,198.40

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Solution

The fourth proportional to 311,267.30, 429,424.14 and 190,198.40 is: 262,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,267.30 : 429,424.14 = 190,198.40 : x
  2. Step 2: Convert to fraction form
    311,267.30/429,424.14 = 190,198.40/x
  3. Step 3: Cross multiply
    311,267.30x = 429,424.14 × 190,198.40
  4. Step 4: Simplify right side
    311,267.30x = 81,675,782,202.26
  5. Step 5: Solve for x
    x = 81,675,782,202.26/311,267.30
  6. Step 6: Final answer
    x = 262,397.57

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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.