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Finding the Fourth Proportional to 384,143.05, 530,103.52 and 212,057.32

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Solution

The fourth proportional to 384,143.05, 530,103.52 and 212,057.32 is: 292,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,143.05 : 530,103.52 = 212,057.32 : x
  2. Step 2: Convert to fraction form
    384,143.05/530,103.52 = 212,057.32/x
  3. Step 3: Cross multiply
    384,143.05x = 530,103.52 × 212,057.32
  4. Step 4: Simplify right side
    384,143.05x = 112,412,331,906.25
  5. Step 5: Solve for x
    x = 112,412,331,906.25/384,143.05
  6. Step 6: Final answer
    x = 292,631.43

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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.