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Finding the Fourth Proportional to 213,396.12, 320,427.09 and 203,931.27

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Solution

The fourth proportional to 213,396.12, 320,427.09 and 203,931.27 is: 306,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,396.12 : 320,427.09 = 203,931.27 : x
  2. Step 2: Convert to fraction form
    213,396.12/320,427.09 = 203,931.27/x
  3. Step 3: Cross multiply
    213,396.12x = 320,427.09 × 203,931.27
  4. Step 4: Simplify right side
    213,396.12x = 65,345,103,406.10
  5. Step 5: Solve for x
    x = 65,345,103,406.10/213,396.12
  6. Step 6: Final answer
    x = 306,215.05

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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.