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Finding the Fourth Proportional to 381,847.37, 573,012.23 and 213,478.13

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Solution

The fourth proportional to 381,847.37, 573,012.23 and 213,478.13 is: 320,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,847.37 : 573,012.23 = 213,478.13 : x
  2. Step 2: Convert to fraction form
    381,847.37/573,012.23 = 213,478.13/x
  3. Step 3: Cross multiply
    381,847.37x = 573,012.23 × 213,478.13
  4. Step 4: Simplify right side
    381,847.37x = 122,325,579,692.67
  5. Step 5: Solve for x
    x = 122,325,579,692.67/381,847.37
  6. Step 6: Final answer
    x = 320,352.03

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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.