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Finding the Fourth Proportional to 381,858.96, 573,029.64 and 213,489.72

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Solution

The fourth proportional to 381,858.96, 573,029.64 and 213,489.72 is: 320,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,858.96 : 573,029.64 = 213,489.72 : x
  2. Step 2: Convert to fraction form
    381,858.96/573,029.64 = 213,489.72/x
  3. Step 3: Cross multiply
    381,858.96x = 573,029.64 × 213,489.72
  4. Step 4: Simplify right side
    381,858.96x = 122,335,937,395.30
  5. Step 5: Solve for x
    x = 122,335,937,395.30/381,858.96
  6. Step 6: Final answer
    x = 320,369.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.