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Finding the Fourth Proportional to 415,815.20, 622,801.20 and 322,016.80

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Solution

The fourth proportional to 415,815.20, 622,801.20 and 322,016.80 is: 482,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,815.20 : 622,801.20 = 322,016.80 : x
  2. Step 2: Convert to fraction form
    415,815.20/622,801.20 = 322,016.80/x
  3. Step 3: Cross multiply
    415,815.20x = 622,801.20 × 322,016.80
  4. Step 4: Simplify right side
    415,815.20x = 200,552,449,460.16
  5. Step 5: Solve for x
    x = 200,552,449,460.16/415,815.20
  6. Step 6: Final answer
    x = 482,311.49

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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.