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Finding the Fourth Proportional to 314,855.43, 434,512.23 and 178,912.44

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Solution

The fourth proportional to 314,855.43, 434,512.23 and 178,912.44 is: 246,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,855.43 : 434,512.23 = 178,912.44 : x
  2. Step 2: Convert to fraction form
    314,855.43/434,512.23 = 178,912.44/x
  3. Step 3: Cross multiply
    314,855.43x = 434,512.23 × 178,912.44
  4. Step 4: Simplify right side
    314,855.43x = 77,739,643,279.14
  5. Step 5: Solve for x
    x = 77,739,643,279.14/314,855.43
  6. Step 6: Final answer
    x = 246,905.84

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1.5x scale

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.