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Finding the Fourth Proportional to 418,489.96, 577,527.46 and 227,516.44

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Solution

The fourth proportional to 418,489.96, 577,527.46 and 227,516.44 is: 313,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,489.96 : 577,527.46 = 227,516.44 : x
  2. Step 2: Convert to fraction form
    418,489.96/577,527.46 = 227,516.44/x
  3. Step 3: Cross multiply
    418,489.96x = 577,527.46 × 227,516.44
  4. Step 4: Simplify right side
    418,489.96x = 131,396,991,701.44
  5. Step 5: Solve for x
    x = 131,396,991,701.44/418,489.96
  6. Step 6: Final answer
    x = 313,978.84

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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.