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Finding the Fourth Proportional to 454,074.80, 681,112.20 and 419,957.60

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Solution

The fourth proportional to 454,074.80, 681,112.20 and 419,957.60 is: 629,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,074.80 : 681,112.20 = 419,957.60 : x
  2. Step 2: Convert to fraction form
    454,074.80/681,112.20 = 419,957.60/x
  3. Step 3: Cross multiply
    454,074.80x = 681,112.20 × 419,957.60
  4. Step 4: Simplify right side
    454,074.80x = 286,038,244,842.72
  5. Step 5: Solve for x
    x = 286,038,244,842.72/454,074.80
  6. Step 6: Final answer
    x = 629,936.40

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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.