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Finding the Fourth Proportional to 505,843.93, 757,406.24 and 385,326.78

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Solution

The fourth proportional to 505,843.93, 757,406.24 and 385,326.78 is: 576,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,843.93 : 757,406.24 = 385,326.78 : x
  2. Step 2: Convert to fraction form
    505,843.93/757,406.24 = 385,326.78/x
  3. Step 3: Cross multiply
    505,843.93x = 757,406.24 × 385,326.78
  4. Step 4: Simplify right side
    505,843.93x = 291,848,907,611.11
  5. Step 5: Solve for x
    x = 291,848,907,611.11/505,843.93
  6. Step 6: Final answer
    x = 576,954.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.