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Finding the Fourth Proportional to 323,064.96, 445,797.44 and 187,142.57

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Solution

The fourth proportional to 323,064.96, 445,797.44 and 187,142.57 is: 258,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,064.96 : 445,797.44 = 187,142.57 : x
  2. Step 2: Convert to fraction form
    323,064.96/445,797.44 = 187,142.57/x
  3. Step 3: Cross multiply
    323,064.96x = 445,797.44 × 187,142.57
  4. Step 4: Simplify right side
    323,064.96x = 83,427,677,829.85
  5. Step 5: Solve for x
    x = 83,427,677,829.85/323,064.96
  6. Step 6: Final answer
    x = 258,238.09

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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.