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Finding the Fourth Proportional to 505,415.96, 757,469.53 and 205,548.22

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Solution

The fourth proportional to 505,415.96, 757,469.53 and 205,548.22 is: 308,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,415.96 : 757,469.53 = 205,548.22 : x
  2. Step 2: Convert to fraction form
    505,415.96/757,469.53 = 205,548.22/x
  3. Step 3: Cross multiply
    505,415.96x = 757,469.53 × 205,548.22
  4. Step 4: Simplify right side
    505,415.96x = 155,696,514,975.54
  5. Step 5: Solve for x
    x = 155,696,514,975.54/505,415.96
  6. Step 6: Final answer
    x = 308,056.19

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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.