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Finding the Fourth Proportional to 274,094.40, 378,296.97 and 159,439.50

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Solution

The fourth proportional to 274,094.40, 378,296.97 and 159,439.50 is: 220,053.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,094.40 : 378,296.97 = 159,439.50 : x
  2. Step 2: Convert to fraction form
    274,094.40/378,296.97 = 159,439.50/x
  3. Step 3: Cross multiply
    274,094.40x = 378,296.97 × 159,439.50
  4. Step 4: Simplify right side
    274,094.40x = 60,315,479,748.32
  5. Step 5: Solve for x
    x = 60,315,479,748.32/274,094.40
  6. Step 6: Final answer
    x = 220,053.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.