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Finding the Fourth Proportional to 383,442.80, 529,154.78 and 211,367.46

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Solution

The fourth proportional to 383,442.80, 529,154.78 and 211,367.46 is: 291,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,442.80 : 529,154.78 = 211,367.46 : x
  2. Step 2: Convert to fraction form
    383,442.80/529,154.78 = 211,367.46/x
  3. Step 3: Cross multiply
    383,442.80x = 529,154.78 × 211,367.46
  4. Step 4: Simplify right side
    383,442.80x = 111,846,100,738.62
  5. Step 5: Solve for x
    x = 111,846,100,738.62/383,442.80
  6. Step 6: Final answer
    x = 291,689.14

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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.