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Finding the Fourth Proportional to 327,145.60, 491,006.40 and 193,859.20

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Solution

The fourth proportional to 327,145.60, 491,006.40 and 193,859.20 is: 290,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,145.60 : 491,006.40 = 193,859.20 : x
  2. Step 2: Convert to fraction form
    327,145.60/491,006.40 = 193,859.20/x
  3. Step 3: Cross multiply
    327,145.60x = 491,006.40 × 193,859.20
  4. Step 4: Simplify right side
    327,145.60x = 95,186,107,898.88
  5. Step 5: Solve for x
    x = 95,186,107,898.88/327,145.60
  6. Step 6: Final answer
    x = 290,959.46

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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.