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Finding the Fourth Proportional to 505,292.50, 697,305 and 278,938

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Solution

The fourth proportional to 505,292.50, 697,305 and 278,938 is: 384,935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,292.50 : 697,305 = 278,938 : x
  2. Step 2: Convert to fraction form
    505,292.50/697,305 = 278,938/x
  3. Step 3: Cross multiply
    505,292.50x = 697,305 × 278,938
  4. Step 4: Simplify right side
    505,292.50x = 194,504,862,090
  5. Step 5: Solve for x
    x = 194,504,862,090/505,292.50
  6. Step 6: Final answer
    x = 384,935.19

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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.