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Finding the Fourth Proportional to 200,438.64, 300,647.40 and 67,321.62

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Solution

The fourth proportional to 200,438.64, 300,647.40 and 67,321.62 is: 100,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,438.64 : 300,647.40 = 67,321.62 : x
  2. Step 2: Convert to fraction form
    200,438.64/300,647.40 = 67,321.62/x
  3. Step 3: Cross multiply
    200,438.64x = 300,647.40 × 67,321.62
  4. Step 4: Simplify right side
    200,438.64x = 20,240,070,016.79
  5. Step 5: Solve for x
    x = 20,240,070,016.79/200,438.64
  6. Step 6: Final answer
    x = 100,978.88

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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.