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Finding the Fourth Proportional to 365,997.12, 549,170.72 and 206,200.32

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Solution

The fourth proportional to 365,997.12, 549,170.72 and 206,200.32 is: 309,399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,997.12 : 549,170.72 = 206,200.32 : x
  2. Step 2: Convert to fraction form
    365,997.12/549,170.72 = 206,200.32/x
  3. Step 3: Cross multiply
    365,997.12x = 549,170.72 × 206,200.32
  4. Step 4: Simplify right side
    365,997.12x = 113,239,178,198.63
  5. Step 5: Solve for x
    x = 113,239,178,198.63/365,997.12
  6. Step 6: Final answer
    x = 309,399.10

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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.