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Finding the Fourth Proportional to 352,181.94, 486,011.12 and 199,216.88

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Solution

The fourth proportional to 352,181.94, 486,011.12 and 199,216.88 is: 274,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,181.94 : 486,011.12 = 199,216.88 : x
  2. Step 2: Convert to fraction form
    352,181.94/486,011.12 = 199,216.88/x
  3. Step 3: Cross multiply
    352,181.94x = 486,011.12 × 199,216.88
  4. Step 4: Simplify right side
    352,181.94x = 96,821,618,971.71
  5. Step 5: Solve for x
    x = 96,821,618,971.71/352,181.94
  6. Step 6: Final answer
    x = 274,919.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.