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Finding the Fourth Proportional to 278,220.80, 384,143.28 and 219,990.80

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Solution

The fourth proportional to 278,220.80, 384,143.28 and 219,990.80 is: 303,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,220.80 : 384,143.28 = 219,990.80 : x
  2. Step 2: Convert to fraction form
    278,220.80/384,143.28 = 219,990.80/x
  3. Step 3: Cross multiply
    278,220.80x = 384,143.28 × 219,990.80
  4. Step 4: Simplify right side
    278,220.80x = 84,507,987,481.82
  5. Step 5: Solve for x
    x = 84,507,987,481.82/278,220.80
  6. Step 6: Final answer
    x = 303,744.32

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1.5x scale

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.