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Finding the Fourth Proportional to 280,028.80, 419,777.61 and 111,652.57

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Solution

The fourth proportional to 280,028.80, 419,777.61 and 111,652.57 is: 167,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,028.80 : 419,777.61 = 111,652.57 : x
  2. Step 2: Convert to fraction form
    280,028.80/419,777.61 = 111,652.57/x
  3. Step 3: Cross multiply
    280,028.80x = 419,777.61 × 111,652.57
  4. Step 4: Simplify right side
    280,028.80x = 46,869,248,984.96
  5. Step 5: Solve for x
    x = 46,869,248,984.96/280,028.80
  6. Step 6: Final answer
    x = 167,372.96

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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.