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Finding the Fourth Proportional to 275,911, 414,023.74 and 107,409.50

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Solution

The fourth proportional to 275,911, 414,023.74 and 107,409.50 is: 161,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,911 : 414,023.74 = 107,409.50 : x
  2. Step 2: Convert to fraction form
    275,911/414,023.74 = 107,409.50/x
  3. Step 3: Cross multiply
    275,911x = 414,023.74 × 107,409.50
  4. Step 4: Simplify right side
    275,911x = 44,470,082,901.53
  5. Step 5: Solve for x
    x = 44,470,082,901.53/275,911
  6. Step 6: Final answer
    x = 161,175.46

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1.5x scale

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.