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Finding the Fourth Proportional to 411,991.20, 618,447.60 and 384,919.20

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Solution

The fourth proportional to 411,991.20, 618,447.60 and 384,919.20 is: 577,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,991.20 : 618,447.60 = 384,919.20 : x
  2. Step 2: Convert to fraction form
    411,991.20/618,447.60 = 384,919.20/x
  3. Step 3: Cross multiply
    411,991.20x = 618,447.60 × 384,919.20
  4. Step 4: Simplify right side
    411,991.20x = 238,052,355,433.92
  5. Step 5: Solve for x
    x = 238,052,355,433.92/411,991.20
  6. Step 6: Final answer
    x = 577,809.32

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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.