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Finding the Fourth Proportional to 278,447.76, 419,728.32 and 262,191.60

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Solution

The fourth proportional to 278,447.76, 419,728.32 and 262,191.60 is: 395,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,447.76 : 419,728.32 = 262,191.60 : x
  2. Step 2: Convert to fraction form
    278,447.76/419,728.32 = 262,191.60/x
  3. Step 3: Cross multiply
    278,447.76x = 419,728.32 × 262,191.60
  4. Step 4: Simplify right side
    278,447.76x = 110,049,239,786.11
  5. Step 5: Solve for x
    x = 110,049,239,786.11/278,447.76
  6. Step 6: Final answer
    x = 395,224.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.