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Finding the Fourth Proportional to 280,102.40, 419,485.44 and 161,525.76

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Solution

The fourth proportional to 280,102.40, 419,485.44 and 161,525.76 is: 241,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,102.40 : 419,485.44 = 161,525.76 : x
  2. Step 2: Convert to fraction form
    280,102.40/419,485.44 = 161,525.76/x
  3. Step 3: Cross multiply
    280,102.40x = 419,485.44 × 161,525.76
  4. Step 4: Simplify right side
    280,102.40x = 67,757,704,504.93
  5. Step 5: Solve for x
    x = 67,757,704,504.93/280,102.40
  6. Step 6: Final answer
    x = 241,903.33

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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.