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Finding the Fourth Proportional to 505,164.87, 697,077.90 and 278,795.79

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Solution

The fourth proportional to 505,164.87, 697,077.90 and 278,795.79 is: 384,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,164.87 : 697,077.90 = 278,795.79 : x
  2. Step 2: Convert to fraction form
    505,164.87/697,077.90 = 278,795.79/x
  3. Step 3: Cross multiply
    505,164.87x = 697,077.90 × 278,795.79
  4. Step 4: Simplify right side
    505,164.87x = 194,342,383,822.04
  5. Step 5: Solve for x
    x = 194,342,383,822.04/505,164.87
  6. Step 6: Final answer
    x = 384,710.81

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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.