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Finding the Fourth Proportional to 316,990.78, 437,492.13 and 196,171

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Solution

The fourth proportional to 316,990.78, 437,492.13 and 196,171 is: 270,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,990.78 : 437,492.13 = 196,171 : x
  2. Step 2: Convert to fraction form
    316,990.78/437,492.13 = 196,171/x
  3. Step 3: Cross multiply
    316,990.78x = 437,492.13 × 196,171
  4. Step 4: Simplify right side
    316,990.78x = 85,823,268,634.23
  5. Step 5: Solve for x
    x = 85,823,268,634.23/316,990.78
  6. Step 6: Final answer
    x = 270,743.74

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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.