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Finding the Fourth Proportional to 321,843.80, 482,765.70 and 210,432.60

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Solution

The fourth proportional to 321,843.80, 482,765.70 and 210,432.60 is: 315,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,843.80 : 482,765.70 = 210,432.60 : x
  2. Step 2: Convert to fraction form
    321,843.80/482,765.70 = 210,432.60/x
  3. Step 3: Cross multiply
    321,843.80x = 482,765.70 × 210,432.60
  4. Step 4: Simplify right side
    321,843.80x = 101,589,641,441.82
  5. Step 5: Solve for x
    x = 101,589,641,441.82/321,843.80
  6. Step 6: Final answer
    x = 315,648.90

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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.