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Finding the Fourth Proportional to 330,880.80, 496,321.20 and 212,782.80

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Solution

The fourth proportional to 330,880.80, 496,321.20 and 212,782.80 is: 319,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,880.80 : 496,321.20 = 212,782.80 : x
  2. Step 2: Convert to fraction form
    330,880.80/496,321.20 = 212,782.80/x
  3. Step 3: Cross multiply
    330,880.80x = 496,321.20 × 212,782.80
  4. Step 4: Simplify right side
    330,880.80x = 105,608,614,635.36
  5. Step 5: Solve for x
    x = 105,608,614,635.36/330,880.80
  6. Step 6: Final answer
    x = 319,174.20

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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.