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Finding the Fourth Proportional to 275,431.06, 412,758.69 and 219,020.77

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Solution

The fourth proportional to 275,431.06, 412,758.69 and 219,020.77 is: 328,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,431.06 : 412,758.69 = 219,020.77 : x
  2. Step 2: Convert to fraction form
    275,431.06/412,758.69 = 219,020.77/x
  3. Step 3: Cross multiply
    275,431.06x = 412,758.69 × 219,020.77
  4. Step 4: Simplify right side
    275,431.06x = 90,402,726,107.99
  5. Step 5: Solve for x
    x = 90,402,726,107.99/275,431.06
  6. Step 6: Final answer
    x = 328,222.70

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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.