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Finding the Fourth Proportional to 384,138.65, 530,161.49 and 214,408.01

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Solution

The fourth proportional to 384,138.65, 530,161.49 and 214,408.01 is: 295,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,138.65 : 530,161.49 = 214,408.01 : x
  2. Step 2: Convert to fraction form
    384,138.65/530,161.49 = 214,408.01/x
  3. Step 3: Cross multiply
    384,138.65x = 530,161.49 × 214,408.01
  4. Step 4: Simplify right side
    384,138.65x = 113,670,870,049.54
  5. Step 5: Solve for x
    x = 113,670,870,049.54/384,138.65
  6. Step 6: Final answer
    x = 295,911.05

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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.