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Finding the Fourth Proportional to 419,010.47, 628,512.35 and 277,489.02

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Solution

The fourth proportional to 419,010.47, 628,512.35 and 277,489.02 is: 416,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,010.47 : 628,512.35 = 277,489.02 : x
  2. Step 2: Convert to fraction form
    419,010.47/628,512.35 = 277,489.02/x
  3. Step 3: Cross multiply
    419,010.47x = 628,512.35 × 277,489.02
  4. Step 4: Simplify right side
    419,010.47x = 174,405,277,028.87
  5. Step 5: Solve for x
    x = 174,405,277,028.87/419,010.47
  6. Step 6: Final answer
    x = 416,231.31

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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.