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Finding the Fourth Proportional to 415,783.80, 622,509.30 and 404,119.80

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Solution

The fourth proportional to 415,783.80, 622,509.30 and 404,119.80 is: 605,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,783.80 : 622,509.30 = 404,119.80 : x
  2. Step 2: Convert to fraction form
    415,783.80/622,509.30 = 404,119.80/x
  3. Step 3: Cross multiply
    415,783.80x = 622,509.30 × 404,119.80
  4. Step 4: Simplify right side
    415,783.80x = 251,568,333,814.14
  5. Step 5: Solve for x
    x = 251,568,333,814.14/415,783.80
  6. Step 6: Final answer
    x = 605,046.02

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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.