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Finding the Fourth Proportional to 383,867, 529,736.46 and 214,101.26

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Solution

The fourth proportional to 383,867, 529,736.46 and 214,101.26 is: 295,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,867 : 529,736.46 = 214,101.26 : x
  2. Step 2: Convert to fraction form
    383,867/529,736.46 = 214,101.26/x
  3. Step 3: Cross multiply
    383,867x = 529,736.46 × 214,101.26
  4. Step 4: Simplify right side
    383,867x = 113,417,243,553.94
  5. Step 5: Solve for x
    x = 113,417,243,553.94/383,867
  6. Step 6: Final answer
    x = 295,459.74

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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.