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Finding the Fourth Proportional to 408,905.20, 613,818.60 and 315,823.60

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Solution

The fourth proportional to 408,905.20, 613,818.60 and 315,823.60 is: 474,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,905.20 : 613,818.60 = 315,823.60 : x
  2. Step 2: Convert to fraction form
    408,905.20/613,818.60 = 315,823.60/x
  3. Step 3: Cross multiply
    408,905.20x = 613,818.60 × 315,823.60
  4. Step 4: Simplify right side
    408,905.20x = 193,858,399,998.96
  5. Step 5: Solve for x
    x = 193,858,399,998.96/408,905.20
  6. Step 6: Final answer
    x = 474,091.31

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1.5x scale

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.