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Finding the Fourth Proportional to 392,714.21, 589,059.59 and 108,422.12

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Solution

The fourth proportional to 392,714.21, 589,059.59 and 108,422.12 is: 162,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,714.21 : 589,059.59 = 108,422.12 : x
  2. Step 2: Convert to fraction form
    392,714.21/589,059.59 = 108,422.12/x
  3. Step 3: Cross multiply
    392,714.21x = 589,059.59 × 108,422.12
  4. Step 4: Simplify right side
    392,714.21x = 63,867,086,066.72
  5. Step 5: Solve for x
    x = 63,867,086,066.72/392,714.21
  6. Step 6: Final answer
    x = 162,629.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.