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Finding the Fourth Proportional to 280,057.64, 419,960.10 and 80,332.20

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Solution

The fourth proportional to 280,057.64, 419,960.10 and 80,332.20 is: 120,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,057.64 : 419,960.10 = 80,332.20 : x
  2. Step 2: Convert to fraction form
    280,057.64/419,960.10 = 80,332.20/x
  3. Step 3: Cross multiply
    280,057.64x = 419,960.10 × 80,332.20
  4. Step 4: Simplify right side
    280,057.64x = 33,736,318,745.22
  5. Step 5: Solve for x
    x = 33,736,318,745.22/280,057.64
  6. Step 6: Final answer
    x = 120,462.05

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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.