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Finding the Fourth Proportional to 274,520, 378,578.40 and 179,099.84

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Solution

The fourth proportional to 274,520, 378,578.40 and 179,099.84 is: 246,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,520 : 378,578.40 = 179,099.84 : x
  2. Step 2: Convert to fraction form
    274,520/378,578.40 = 179,099.84/x
  3. Step 3: Cross multiply
    274,520x = 378,578.40 × 179,099.84
  4. Step 4: Simplify right side
    274,520x = 67,803,330,867.46
  5. Step 5: Solve for x
    x = 67,803,330,867.46/274,520
  6. Step 6: Final answer
    x = 246,988.67

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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.