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Finding the Fourth Proportional to 330,643.20, 496,195.20 and 212,601.60

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Solution

The fourth proportional to 330,643.20, 496,195.20 and 212,601.60 is: 319,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,643.20 : 496,195.20 = 212,601.60 : x
  2. Step 2: Convert to fraction form
    330,643.20/496,195.20 = 212,601.60/x
  3. Step 3: Cross multiply
    330,643.20x = 496,195.20 × 212,601.60
  4. Step 4: Simplify right side
    330,643.20x = 105,491,893,432.32
  5. Step 5: Solve for x
    x = 105,491,893,432.32/330,643.20
  6. Step 6: Final answer
    x = 319,050.55

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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.