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Finding the Fourth Proportional to 298,361.96, 447,608.70 and 129,909.32

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Solution

The fourth proportional to 298,361.96, 447,608.70 and 129,909.32 is: 194,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,361.96 : 447,608.70 = 129,909.32 : x
  2. Step 2: Convert to fraction form
    298,361.96/447,608.70 = 129,909.32/x
  3. Step 3: Cross multiply
    298,361.96x = 447,608.70 × 129,909.32
  4. Step 4: Simplify right side
    298,361.96x = 58,148,541,843.08
  5. Step 5: Solve for x
    x = 58,148,541,843.08/298,361.96
  6. Step 6: Final answer
    x = 194,892.61

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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.