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Finding the Fourth Proportional to 280,205.12, 419,754.72 and 210,163.52

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Solution

The fourth proportional to 280,205.12, 419,754.72 and 210,163.52 is: 314,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,205.12 : 419,754.72 = 210,163.52 : x
  2. Step 2: Convert to fraction form
    280,205.12/419,754.72 = 210,163.52/x
  3. Step 3: Cross multiply
    280,205.12x = 419,754.72 × 210,163.52
  4. Step 4: Simplify right side
    280,205.12x = 88,217,129,491.81
  5. Step 5: Solve for x
    x = 88,217,129,491.81/280,205.12
  6. Step 6: Final answer
    x = 314,830.54

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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.