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Finding the Fourth Proportional to 285,976.20, 428,964.30 and 219,750.60

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Solution

The fourth proportional to 285,976.20, 428,964.30 and 219,750.60 is: 329,625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,976.20 : 428,964.30 = 219,750.60 : x
  2. Step 2: Convert to fraction form
    285,976.20/428,964.30 = 219,750.60/x
  3. Step 3: Cross multiply
    285,976.20x = 428,964.30 × 219,750.60
  4. Step 4: Simplify right side
    285,976.20x = 94,265,162,303.58
  5. Step 5: Solve for x
    x = 94,265,162,303.58/285,976.20
  6. Step 6: Final answer
    x = 329,625.90

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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.