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Finding the Fourth Proportional to 379,274.21, 523,523.14 and 301,891.80

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Solution

The fourth proportional to 379,274.21, 523,523.14 and 301,891.80 is: 416,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,274.21 : 523,523.14 = 301,891.80 : x
  2. Step 2: Convert to fraction form
    379,274.21/523,523.14 = 301,891.80/x
  3. Step 3: Cross multiply
    379,274.21x = 523,523.14 × 301,891.80
  4. Step 4: Simplify right side
    379,274.21x = 158,047,343,076.25
  5. Step 5: Solve for x
    x = 158,047,343,076.25/379,274.21
  6. Step 6: Final answer
    x = 416,709.97

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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.