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Finding the Fourth Proportional to 415,896.80, 622,678.80 and 404,232.80

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Solution

The fourth proportional to 415,896.80, 622,678.80 and 404,232.80 is: 605,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,896.80 : 622,678.80 = 404,232.80 : x
  2. Step 2: Convert to fraction form
    415,896.80/622,678.80 = 404,232.80/x
  3. Step 3: Cross multiply
    415,896.80x = 622,678.80 × 404,232.80
  4. Step 4: Simplify right side
    415,896.80x = 251,707,194,824.64
  5. Step 5: Solve for x
    x = 251,707,194,824.64/415,896.80
  6. Step 6: Final answer
    x = 605,215.51

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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.