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Finding the Fourth Proportional to 419,673.42, 629,635.32 and 394,608.78

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Solution

The fourth proportional to 419,673.42, 629,635.32 and 394,608.78 is: 592,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,673.42 : 629,635.32 = 394,608.78 : x
  2. Step 2: Convert to fraction form
    419,673.42/629,635.32 = 394,608.78/x
  3. Step 3: Cross multiply
    419,673.42x = 629,635.32 × 394,608.78
  4. Step 4: Simplify right side
    419,673.42x = 248,459,625,470.11
  5. Step 5: Solve for x
    x = 248,459,625,470.11/419,673.42
  6. Step 6: Final answer
    x = 592,030.88

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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.