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Finding the Fourth Proportional to 278,118.69, 416,144.60 and 165,859.98

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Solution

The fourth proportional to 278,118.69, 416,144.60 and 165,859.98 is: 248,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,118.69 : 416,144.60 = 165,859.98 : x
  2. Step 2: Convert to fraction form
    278,118.69/416,144.60 = 165,859.98/x
  3. Step 3: Cross multiply
    278,118.69x = 416,144.60 × 165,859.98
  4. Step 4: Simplify right side
    278,118.69x = 69,021,735,033.11
  5. Step 5: Solve for x
    x = 69,021,735,033.11/278,118.69
  6. Step 6: Final answer
    x = 248,173.67

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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.