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Finding the Fourth Proportional to 415,196.80, 622,795.20 and 321,884.80

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Solution

The fourth proportional to 415,196.80, 622,795.20 and 321,884.80 is: 482,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,196.80 : 622,795.20 = 321,884.80 : x
  2. Step 2: Convert to fraction form
    415,196.80/622,795.20 = 321,884.80/x
  3. Step 3: Cross multiply
    415,196.80x = 622,795.20 × 321,884.80
  4. Step 4: Simplify right side
    415,196.80x = 200,468,308,392.96
  5. Step 5: Solve for x
    x = 200,468,308,392.96/415,196.80
  6. Step 6: Final answer
    x = 482,827.20

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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.