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Finding the Fourth Proportional to 413,834.27, 620,416.26 and 129,378.47

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Solution

The fourth proportional to 413,834.27, 620,416.26 and 129,378.47 is: 193,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,834.27 : 620,416.26 = 129,378.47 : x
  2. Step 2: Convert to fraction form
    413,834.27/620,416.26 = 129,378.47/x
  3. Step 3: Cross multiply
    413,834.27x = 620,416.26 × 129,378.47
  4. Step 4: Simplify right side
    413,834.27x = 80,268,503,379.84
  5. Step 5: Solve for x
    x = 80,268,503,379.84/413,834.27
  6. Step 6: Final answer
    x = 193,962.92

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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.