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Finding the Fourth Proportional to 415,459.44, 622,939.77 and 190,538.10

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Solution

The fourth proportional to 415,459.44, 622,939.77 and 190,538.10 is: 285,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,459.44 : 622,939.77 = 190,538.10 : x
  2. Step 2: Convert to fraction form
    415,459.44/622,939.77 = 190,538.10/x
  3. Step 3: Cross multiply
    415,459.44x = 622,939.77 × 190,538.10
  4. Step 4: Simplify right side
    415,459.44x = 118,693,760,190.24
  5. Step 5: Solve for x
    x = 118,693,760,190.24/415,459.44
  6. Step 6: Final answer
    x = 285,692.77

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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.