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Finding the Fourth Proportional to 395,419.12, 593,216.16 and 114,912.88

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Solution

The fourth proportional to 395,419.12, 593,216.16 and 114,912.88 is: 172,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,419.12 : 593,216.16 = 114,912.88 : x
  2. Step 2: Convert to fraction form
    395,419.12/593,216.16 = 114,912.88/x
  3. Step 3: Cross multiply
    395,419.12x = 593,216.16 × 114,912.88
  4. Step 4: Simplify right side
    395,419.12x = 68,168,177,408.14
  5. Step 5: Solve for x
    x = 68,168,177,408.14/395,419.12
  6. Step 6: Final answer
    x = 172,394.74

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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.