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Finding the Fourth Proportional to 294,270.80, 441,406.20 and 219,621.20

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Solution

The fourth proportional to 294,270.80, 441,406.20 and 219,621.20 is: 329,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,270.80 : 441,406.20 = 219,621.20 : x
  2. Step 2: Convert to fraction form
    294,270.80/441,406.20 = 219,621.20/x
  3. Step 3: Cross multiply
    294,270.80x = 441,406.20 × 219,621.20
  4. Step 4: Simplify right side
    294,270.80x = 96,942,159,331.44
  5. Step 5: Solve for x
    x = 96,942,159,331.44/294,270.80
  6. Step 6: Final answer
    x = 329,431.80

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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.