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Finding the Fourth Proportional to 360,910, 541,115.52 and 259,770.16

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Solution

The fourth proportional to 360,910, 541,115.52 and 259,770.16 is: 389,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,910 : 541,115.52 = 259,770.16 : x
  2. Step 2: Convert to fraction form
    360,910/541,115.52 = 259,770.16/x
  3. Step 3: Cross multiply
    360,910x = 541,115.52 × 259,770.16
  4. Step 4: Simplify right side
    360,910x = 140,565,665,208.88
  5. Step 5: Solve for x
    x = 140,565,665,208.88/360,910
  6. Step 6: Final answer
    x = 389,475.67

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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.