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Finding the Fourth Proportional to 298,286.31, 411,635.18 and 164,150.31

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Solution

The fourth proportional to 298,286.31, 411,635.18 and 164,150.31 is: 226,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,286.31 : 411,635.18 = 164,150.31 : x
  2. Step 2: Convert to fraction form
    298,286.31/411,635.18 = 164,150.31/x
  3. Step 3: Cross multiply
    298,286.31x = 411,635.18 × 164,150.31
  4. Step 4: Simplify right side
    298,286.31x = 67,570,042,403.91
  5. Step 5: Solve for x
    x = 67,570,042,403.91/298,286.31
  6. Step 6: Final answer
    x = 226,527.47

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1.5x scale

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.