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Finding the Fourth Proportional to 306,325.28, 422,748.24 and 172,197.92

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Solution

The fourth proportional to 306,325.28, 422,748.24 and 172,197.92 is: 237,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,325.28 : 422,748.24 = 172,197.92 : x
  2. Step 2: Convert to fraction form
    306,325.28/422,748.24 = 172,197.92/x
  3. Step 3: Cross multiply
    306,325.28x = 422,748.24 × 172,197.92
  4. Step 4: Simplify right side
    306,325.28x = 72,796,367,611.66
  5. Step 5: Solve for x
    x = 72,796,367,611.66/306,325.28
  6. Step 6: Final answer
    x = 237,644.01

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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.