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Finding the Fourth Proportional to 381,598.06, 526,647.21 and 218,269.90

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Solution

The fourth proportional to 381,598.06, 526,647.21 and 218,269.90 is: 301,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,598.06 : 526,647.21 = 218,269.90 : x
  2. Step 2: Convert to fraction form
    381,598.06/526,647.21 = 218,269.90/x
  3. Step 3: Cross multiply
    381,598.06x = 526,647.21 × 218,269.90
  4. Step 4: Simplify right side
    381,598.06x = 114,951,233,861.98
  5. Step 5: Solve for x
    x = 114,951,233,861.98/381,598.06
  6. Step 6: Final answer
    x = 301,236.42

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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.