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Finding the Fourth Proportional to 505,190.46, 758,120.34 and 277,644.97

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Solution

The fourth proportional to 505,190.46, 758,120.34 and 277,644.97 is: 416,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,190.46 : 758,120.34 = 277,644.97 : x
  2. Step 2: Convert to fraction form
    505,190.46/758,120.34 = 277,644.97/x
  3. Step 3: Cross multiply
    505,190.46x = 758,120.34 × 277,644.97
  4. Step 4: Simplify right side
    505,190.46x = 210,488,299,055.69
  5. Step 5: Solve for x
    x = 210,488,299,055.69/505,190.46
  6. Step 6: Final answer
    x = 416,651.38

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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.