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Finding the Fourth Proportional to 280,199.12, 419,745.72 and 210,157.52

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Solution

The fourth proportional to 280,199.12, 419,745.72 and 210,157.52 is: 314,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,199.12 : 419,745.72 = 210,157.52 : x
  2. Step 2: Convert to fraction form
    280,199.12/419,745.72 = 210,157.52/x
  3. Step 3: Cross multiply
    280,199.12x = 419,745.72 × 210,157.52
  4. Step 4: Simplify right side
    280,199.12x = 88,212,719,545.81
  5. Step 5: Solve for x
    x = 88,212,719,545.81/280,199.12
  6. Step 6: Final answer
    x = 314,821.54

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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.