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Finding the Fourth Proportional to 408,876.80, 613,315.20 and 184,490.60

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Solution

The fourth proportional to 408,876.80, 613,315.20 and 184,490.60 is: 276,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,876.80 : 613,315.20 = 184,490.60 : x
  2. Step 2: Convert to fraction form
    408,876.80/613,315.20 = 184,490.60/x
  3. Step 3: Cross multiply
    408,876.80x = 613,315.20 × 184,490.60
  4. Step 4: Simplify right side
    408,876.80x = 113,150,889,237.12
  5. Step 5: Solve for x
    x = 113,150,889,237.12/408,876.80
  6. Step 6: Final answer
    x = 276,735.90

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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.