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Finding the Fourth Proportional to 275,909, 414,020.74 and 107,407.50

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Solution

The fourth proportional to 275,909, 414,020.74 and 107,407.50 is: 161,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,909 : 414,020.74 = 107,407.50 : x
  2. Step 2: Convert to fraction form
    275,909/414,020.74 = 107,407.50/x
  3. Step 3: Cross multiply
    275,909x = 414,020.74 × 107,407.50
  4. Step 4: Simplify right side
    275,909x = 44,468,932,631.55
  5. Step 5: Solve for x
    x = 44,468,932,631.55/275,909
  6. Step 6: Final answer
    x = 161,172.46

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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.