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Finding the Fourth Proportional to 263,955, 395,998.50 and 76,966.50

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Solution

The fourth proportional to 263,955, 395,998.50 and 76,966.50 is: 115,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,955 : 395,998.50 = 76,966.50 : x
  2. Step 2: Convert to fraction form
    263,955/395,998.50 = 76,966.50/x
  3. Step 3: Cross multiply
    263,955x = 395,998.50 × 76,966.50
  4. Step 4: Simplify right side
    263,955x = 30,478,618,550.25
  5. Step 5: Solve for x
    x = 30,478,618,550.25/263,955
  6. Step 6: Final answer
    x = 115,468.99

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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.