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Finding the Fourth Proportional to 280,110.30, 420,219.45 and 120,183.90

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Solution

The fourth proportional to 280,110.30, 420,219.45 and 120,183.90 is: 180,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,110.30 : 420,219.45 = 120,183.90 : x
  2. Step 2: Convert to fraction form
    280,110.30/420,219.45 = 120,183.90/x
  3. Step 3: Cross multiply
    280,110.30x = 420,219.45 × 120,183.90
  4. Step 4: Simplify right side
    280,110.30x = 50,503,612,356.86
  5. Step 5: Solve for x
    x = 50,503,612,356.86/280,110.30
  6. Step 6: Final answer
    x = 180,299.02

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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.