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Finding the Fourth Proportional to 200,432.96, 300,388.32 and 111,682.88

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Solution

The fourth proportional to 200,432.96, 300,388.32 and 111,682.88 is: 167,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,432.96 : 300,388.32 = 111,682.88 : x
  2. Step 2: Convert to fraction form
    200,432.96/300,388.32 = 111,682.88/x
  3. Step 3: Cross multiply
    200,432.96x = 300,388.32 × 111,682.88
  4. Step 4: Simplify right side
    200,432.96x = 33,548,232,695.96
  5. Step 5: Solve for x
    x = 33,548,232,695.96/200,432.96
  6. Step 6: Final answer
    x = 167,378.82

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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.