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Finding the Fourth Proportional to 505,474.88, 697,674.96 and 290,739

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Solution

The fourth proportional to 505,474.88, 697,674.96 and 290,739 is: 401,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,474.88 : 697,674.96 = 290,739 : x
  2. Step 2: Convert to fraction form
    505,474.88/697,674.96 = 290,739/x
  3. Step 3: Cross multiply
    505,474.88x = 697,674.96 × 290,739
  4. Step 4: Simplify right side
    505,474.88x = 202,841,320,195.44
  5. Step 5: Solve for x
    x = 202,841,320,195.44/505,474.88
  6. Step 6: Final answer
    x = 401,288.63

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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.