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Finding the Fourth Proportional to 384,138.72, 530,111.52 and 214,369.20

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Solution

The fourth proportional to 384,138.72, 530,111.52 and 214,369.20 is: 295,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,138.72 : 530,111.52 = 214,369.20 : x
  2. Step 2: Convert to fraction form
    384,138.72/530,111.52 = 214,369.20/x
  3. Step 3: Cross multiply
    384,138.72x = 530,111.52 × 214,369.20
  4. Step 4: Simplify right side
    384,138.72x = 113,639,582,453.18
  5. Step 5: Solve for x
    x = 113,639,582,453.18/384,138.72
  6. Step 6: Final answer
    x = 295,829.54

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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.