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Finding the Fourth Proportional to 384,896.43, 531,135.54 and 212,804.37

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Solution

The fourth proportional to 384,896.43, 531,135.54 and 212,804.37 is: 293,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,896.43 : 531,135.54 = 212,804.37 : x
  2. Step 2: Convert to fraction form
    384,896.43/531,135.54 = 212,804.37/x
  3. Step 3: Cross multiply
    384,896.43x = 531,135.54 × 212,804.37
  4. Step 4: Simplify right side
    384,896.43x = 113,027,963,974.31
  5. Step 5: Solve for x
    x = 113,027,963,974.31/384,896.43
  6. Step 6: Final answer
    x = 293,658.13

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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.