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Finding the Fourth Proportional to 211,442.40, 317,217.60 and 149,234.40

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Solution

The fourth proportional to 211,442.40, 317,217.60 and 149,234.40 is: 223,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,442.40 : 317,217.60 = 149,234.40 : x
  2. Step 2: Convert to fraction form
    211,442.40/317,217.60 = 149,234.40/x
  3. Step 3: Cross multiply
    211,442.40x = 317,217.60 × 149,234.40
  4. Step 4: Simplify right side
    211,442.40x = 47,339,778,205.44
  5. Step 5: Solve for x
    x = 47,339,778,205.44/211,442.40
  6. Step 6: Final answer
    x = 223,889.71

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1.5x scale

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.