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Finding the Fourth Proportional to 505,293.50, 697,306.38 and 278,939

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Solution

The fourth proportional to 505,293.50, 697,306.38 and 278,939 is: 384,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,293.50 : 697,306.38 = 278,939 : x
  2. Step 2: Convert to fraction form
    505,293.50/697,306.38 = 278,939/x
  3. Step 3: Cross multiply
    505,293.50x = 697,306.38 × 278,939
  4. Step 4: Simplify right side
    505,293.50x = 194,505,944,330.82
  5. Step 5: Solve for x
    x = 194,505,944,330.82/505,293.50
  6. Step 6: Final answer
    x = 384,936.57

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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.