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Finding the Fourth Proportional to 505,685.25, 697,866.86 and 290,825.48

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Solution

The fourth proportional to 505,685.25, 697,866.86 and 290,825.48 is: 401,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,685.25 : 697,866.86 = 290,825.48 : x
  2. Step 2: Convert to fraction form
    505,685.25/697,866.86 = 290,825.48/x
  3. Step 3: Cross multiply
    505,685.25x = 697,866.86 × 290,825.48
  4. Step 4: Simplify right side
    505,685.25x = 202,957,464,535.59
  5. Step 5: Solve for x
    x = 202,957,464,535.59/505,685.25
  6. Step 6: Final answer
    x = 401,351.36

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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.