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Finding the Fourth Proportional to 211,451.40, 317,231.10 and 149,243.40

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Solution

The fourth proportional to 211,451.40, 317,231.10 and 149,243.40 is: 223,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,451.40 : 317,231.10 = 149,243.40 : x
  2. Step 2: Convert to fraction form
    211,451.40/317,231.10 = 149,243.40/x
  3. Step 3: Cross multiply
    211,451.40x = 317,231.10 × 149,243.40
  4. Step 4: Simplify right side
    211,451.40x = 47,344,647,949.74
  5. Step 5: Solve for x
    x = 47,344,647,949.74/211,451.40
  6. Step 6: Final answer
    x = 223,903.21

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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.