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Finding the Fourth Proportional to 306,321.28, 422,742.72 and 172,193.92

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Solution

The fourth proportional to 306,321.28, 422,742.72 and 172,193.92 is: 237,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,321.28 : 422,742.72 = 172,193.92 : x
  2. Step 2: Convert to fraction form
    306,321.28/422,742.72 = 172,193.92/x
  3. Step 3: Cross multiply
    306,321.28x = 422,742.72 × 172,193.92
  4. Step 4: Simplify right side
    306,321.28x = 72,793,726,108.26
  5. Step 5: Solve for x
    x = 72,793,726,108.26/306,321.28
  6. Step 6: Final answer
    x = 237,638.49

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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.