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Finding the Fourth Proportional to 505,296.36, 697,304.70 and 278,937

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Solution

The fourth proportional to 505,296.36, 697,304.70 and 278,937 is: 384,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,296.36 : 697,304.70 = 278,937 : x
  2. Step 2: Convert to fraction form
    505,296.36/697,304.70 = 278,937/x
  3. Step 3: Cross multiply
    505,296.36x = 697,304.70 × 278,937
  4. Step 4: Simplify right side
    505,296.36x = 194,504,081,103.90
  5. Step 5: Solve for x
    x = 194,504,081,103.90/505,296.36
  6. Step 6: Final answer
    x = 384,930.70

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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.