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Finding the Fourth Proportional to 384,243.16, 530,217.36 and 212,149.96

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Solution

The fourth proportional to 384,243.16, 530,217.36 and 212,149.96 is: 292,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,243.16 : 530,217.36 = 212,149.96 : x
  2. Step 2: Convert to fraction form
    384,243.16/530,217.36 = 212,149.96/x
  3. Step 3: Cross multiply
    384,243.16x = 530,217.36 × 212,149.96
  4. Step 4: Simplify right side
    384,243.16x = 112,485,591,715.31
  5. Step 5: Solve for x
    x = 112,485,591,715.31/384,243.16
  6. Step 6: Final answer
    x = 292,745.85

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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.