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Finding the Fourth Proportional to 316,990.87, 437,492.25 and 196,171.06

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Solution

The fourth proportional to 316,990.87, 437,492.25 and 196,171.06 is: 270,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,990.87 : 437,492.25 = 196,171.06 : x
  2. Step 2: Convert to fraction form
    316,990.87/437,492.25 = 196,171.06/x
  3. Step 3: Cross multiply
    316,990.87x = 437,492.25 × 196,171.06
  4. Step 4: Simplify right side
    316,990.87x = 85,823,316,236.82
  5. Step 5: Solve for x
    x = 85,823,316,236.82/316,990.87
  6. Step 6: Final answer
    x = 270,743.82

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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.