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Finding the Fourth Proportional to 415,793.20, 622,768.20 and 321,994.80

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Solution

The fourth proportional to 415,793.20, 622,768.20 and 321,994.80 is: 482,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,793.20 : 622,768.20 = 321,994.80 : x
  2. Step 2: Convert to fraction form
    415,793.20/622,768.20 = 321,994.80/x
  3. Step 3: Cross multiply
    415,793.20x = 622,768.20 × 321,994.80
  4. Step 4: Simplify right side
    415,793.20x = 200,528,122,005.36
  5. Step 5: Solve for x
    x = 200,528,122,005.36/415,793.20
  6. Step 6: Final answer
    x = 482,278.50

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1.5x scale

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.