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Finding the Fourth Proportional to 505,147.75, 697,102.46 and 278,791.63

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Solution

The fourth proportional to 505,147.75, 697,102.46 and 278,791.63 is: 384,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,147.75 : 697,102.46 = 278,791.63 : x
  2. Step 2: Convert to fraction form
    505,147.75/697,102.46 = 278,791.63/x
  3. Step 3: Cross multiply
    505,147.75x = 697,102.46 × 278,791.63
  4. Step 4: Simplify right side
    505,147.75x = 194,346,331,100.41
  5. Step 5: Solve for x
    x = 194,346,331,100.41/505,147.75
  6. Step 6: Final answer
    x = 384,731.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.