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Finding the Fourth Proportional to 311,496.78, 429,899.22 and 190,719.30

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Solution

The fourth proportional to 311,496.78, 429,899.22 and 190,719.30 is: 263,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,496.78 : 429,899.22 = 190,719.30 : x
  2. Step 2: Convert to fraction form
    311,496.78/429,899.22 = 190,719.30/x
  3. Step 3: Cross multiply
    311,496.78x = 429,899.22 × 190,719.30
  4. Step 4: Simplify right side
    311,496.78x = 81,990,078,308.95
  5. Step 5: Solve for x
    x = 81,990,078,308.95/311,496.78
  6. Step 6: Final answer
    x = 263,213.25

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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.