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Finding the Fourth Proportional to 315,912.56, 435,958.70 and 179,946.45

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Solution

The fourth proportional to 315,912.56, 435,958.70 and 179,946.45 is: 248,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,912.56 : 435,958.70 = 179,946.45 : x
  2. Step 2: Convert to fraction form
    315,912.56/435,958.70 = 179,946.45/x
  3. Step 3: Cross multiply
    315,912.56x = 435,958.70 × 179,946.45
  4. Step 4: Simplify right side
    315,912.56x = 78,449,219,511.88
  5. Step 5: Solve for x
    x = 78,449,219,511.88/315,912.56
  6. Step 6: Final answer
    x = 248,325.74

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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.