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Finding the Fourth Proportional to 505,308.36, 697,321.26 and 278,949

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Solution

The fourth proportional to 505,308.36, 697,321.26 and 278,949 is: 384,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,308.36 : 697,321.26 = 278,949 : x
  2. Step 2: Convert to fraction form
    505,308.36/697,321.26 = 278,949/x
  3. Step 3: Cross multiply
    505,308.36x = 697,321.26 × 278,949
  4. Step 4: Simplify right side
    505,308.36x = 194,517,068,155.74
  5. Step 5: Solve for x
    x = 194,517,068,155.74/505,308.36
  6. Step 6: Final answer
    x = 384,947.26

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