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Finding the Fourth Proportional to 419,982.40, 629,973.60 and 380,616.40

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Solution

The fourth proportional to 419,982.40, 629,973.60 and 380,616.40 is: 570,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,982.40 : 629,973.60 = 380,616.40 : x
  2. Step 2: Convert to fraction form
    419,982.40/629,973.60 = 380,616.40/x
  3. Step 3: Cross multiply
    419,982.40x = 629,973.60 × 380,616.40
  4. Step 4: Simplify right side
    419,982.40x = 239,778,283,727.04
  5. Step 5: Solve for x
    x = 239,778,283,727.04/419,982.40
  6. Step 6: Final answer
    x = 570,924.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.