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Finding the Fourth Proportional to 321,109.32, 442,917.28 and 206,532.96

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Solution

The fourth proportional to 321,109.32, 442,917.28 and 206,532.96 is: 284,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,109.32 : 442,917.28 = 206,532.96 : x
  2. Step 2: Convert to fraction form
    321,109.32/442,917.28 = 206,532.96/x
  3. Step 3: Cross multiply
    321,109.32x = 442,917.28 × 206,532.96
  4. Step 4: Simplify right side
    321,109.32x = 91,477,016,873.55
  5. Step 5: Solve for x
    x = 91,477,016,873.55/321,109.32
  6. Step 6: Final answer
    x = 284,878.11

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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.