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Finding the Fourth Proportional to 219,005.80, 327,894.30 and 212,861.80

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Solution

The fourth proportional to 219,005.80, 327,894.30 and 212,861.80 is: 318,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,005.80 : 327,894.30 = 212,861.80 : x
  2. Step 2: Convert to fraction form
    219,005.80/327,894.30 = 212,861.80/x
  3. Step 3: Cross multiply
    219,005.80x = 327,894.30 × 212,861.80
  4. Step 4: Simplify right side
    219,005.80x = 69,796,170,907.74
  5. Step 5: Solve for x
    x = 69,796,170,907.74/219,005.80
  6. Step 6: Final answer
    x = 318,695.54

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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.