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Finding the Fourth Proportional to 412,845.60, 619,383.60 and 202,490.40

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Solution

The fourth proportional to 412,845.60, 619,383.60 and 202,490.40 is: 303,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,845.60 : 619,383.60 = 202,490.40 : x
  2. Step 2: Convert to fraction form
    412,845.60/619,383.60 = 202,490.40/x
  3. Step 3: Cross multiply
    412,845.60x = 619,383.60 × 202,490.40
  4. Step 4: Simplify right side
    412,845.60x = 125,419,232,917.44
  5. Step 5: Solve for x
    x = 125,419,232,917.44/412,845.60
  6. Step 6: Final answer
    x = 303,792.10

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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.