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Finding the Fourth Proportional to 383,855.72, 529,721.70 and 214,085.48

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Solution

The fourth proportional to 383,855.72, 529,721.70 and 214,085.48 is: 295,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,855.72 : 529,721.70 = 214,085.48 : x
  2. Step 2: Convert to fraction form
    383,855.72/529,721.70 = 214,085.48/x
  3. Step 3: Cross multiply
    383,855.72x = 529,721.70 × 214,085.48
  4. Step 4: Simplify right side
    383,855.72x = 113,405,724,410.92
  5. Step 5: Solve for x
    x = 113,405,724,410.92/383,855.72
  6. Step 6: Final answer
    x = 295,438.41

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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.