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Finding the Fourth Proportional to 275,430.06, 412,757.19 and 219,019.77

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Solution

The fourth proportional to 275,430.06, 412,757.19 and 219,019.77 is: 328,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,430.06 : 412,757.19 = 219,019.77 : x
  2. Step 2: Convert to fraction form
    275,430.06/412,757.19 = 219,019.77/x
  3. Step 3: Cross multiply
    275,430.06x = 412,757.19 × 219,019.77
  4. Step 4: Simplify right side
    275,430.06x = 90,401,984,819.65
  5. Step 5: Solve for x
    x = 90,401,984,819.65/275,430.06
  6. Step 6: Final answer
    x = 328,221.20

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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.