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Finding the Fourth Proportional to 200,573.28, 300,414.40 and 143,540.96

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Solution

The fourth proportional to 200,573.28, 300,414.40 and 143,540.96 is: 214,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,573.28 : 300,414.40 = 143,540.96 : x
  2. Step 2: Convert to fraction form
    200,573.28/300,414.40 = 143,540.96/x
  3. Step 3: Cross multiply
    200,573.28x = 300,414.40 × 143,540.96
  4. Step 4: Simplify right side
    200,573.28x = 43,121,771,373.82
  5. Step 5: Solve for x
    x = 43,121,771,373.82/200,573.28
  6. Step 6: Final answer
    x = 214,992.60

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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.