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Finding the Fourth Proportional to 505,067.14, 696,989.22 and 278,712.64

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Solution

The fourth proportional to 505,067.14, 696,989.22 and 278,712.64 is: 384,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,067.14 : 696,989.22 = 278,712.64 : x
  2. Step 2: Convert to fraction form
    505,067.14/696,989.22 = 278,712.64/x
  3. Step 3: Cross multiply
    505,067.14x = 696,989.22 × 278,712.64
  4. Step 4: Simplify right side
    505,067.14x = 194,259,705,557.74
  5. Step 5: Solve for x
    x = 194,259,705,557.74/505,067.14
  6. Step 6: Final answer
    x = 384,621.55

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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.