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Finding the Fourth Proportional to 419,029.38, 628,540.74 and 277,507.98

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Solution

The fourth proportional to 419,029.38, 628,540.74 and 277,507.98 is: 416,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,029.38 : 628,540.74 = 277,507.98 : x
  2. Step 2: Convert to fraction form
    419,029.38/628,540.74 = 277,507.98/x
  3. Step 3: Cross multiply
    419,029.38x = 628,540.74 × 277,507.98
  4. Step 4: Simplify right side
    419,029.38x = 174,425,071,105.11
  5. Step 5: Solve for x
    x = 174,425,071,105.11/419,029.38
  6. Step 6: Final answer
    x = 416,259.76

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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.