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Finding the Fourth Proportional to 314,636.73, 434,049.90 and 212,697.92

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Solution

The fourth proportional to 314,636.73, 434,049.90 and 212,697.92 is: 293,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,636.73 : 434,049.90 = 212,697.92 : x
  2. Step 2: Convert to fraction form
    314,636.73/434,049.90 = 212,697.92/x
  3. Step 3: Cross multiply
    314,636.73x = 434,049.90 × 212,697.92
  4. Step 4: Simplify right side
    314,636.73x = 92,321,510,906.21
  5. Step 5: Solve for x
    x = 92,321,510,906.21/314,636.73
  6. Step 6: Final answer
    x = 293,422.55

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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.