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Finding the Fourth Proportional to 408,445.80, 612,150.30 and 363,863.40

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Solution

The fourth proportional to 408,445.80, 612,150.30 and 363,863.40 is: 545,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,445.80 : 612,150.30 = 363,863.40 : x
  2. Step 2: Convert to fraction form
    408,445.80/612,150.30 = 363,863.40/x
  3. Step 3: Cross multiply
    408,445.80x = 612,150.30 × 363,863.40
  4. Step 4: Simplify right side
    408,445.80x = 222,739,089,469.02
  5. Step 5: Solve for x
    x = 222,739,089,469.02/408,445.80
  6. Step 6: Final answer
    x = 545,333.28

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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.