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Finding the Fourth Proportional to 323,147, 445,977.42 and 189,123.32

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Solution

The fourth proportional to 323,147, 445,977.42 and 189,123.32 is: 261,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,147 : 445,977.42 = 189,123.32 : x
  2. Step 2: Convert to fraction form
    323,147/445,977.42 = 189,123.32/x
  3. Step 3: Cross multiply
    323,147x = 445,977.42 × 189,123.32
  4. Step 4: Simplify right side
    323,147x = 84,344,730,315.43
  5. Step 5: Solve for x
    x = 84,344,730,315.43/323,147
  6. Step 6: Final answer
    x = 261,010.41

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1.5x scale

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.