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Finding the Fourth Proportional to 431,999.20, 647,998.80 and 274,405.60

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Solution

The fourth proportional to 431,999.20, 647,998.80 and 274,405.60 is: 411,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,999.20 : 647,998.80 = 274,405.60 : x
  2. Step 2: Convert to fraction form
    431,999.20/647,998.80 = 274,405.60/x
  3. Step 3: Cross multiply
    431,999.20x = 647,998.80 × 274,405.60
  4. Step 4: Simplify right side
    431,999.20x = 177,814,499,513.28
  5. Step 5: Solve for x
    x = 177,814,499,513.28/431,999.20
  6. Step 6: Final answer
    x = 411,608.40

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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.