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Finding the Fourth Proportional to 306,761.88, 423,266.32 and 193,519

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Solution

The fourth proportional to 306,761.88, 423,266.32 and 193,519 is: 267,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,761.88 : 423,266.32 = 193,519 : x
  2. Step 2: Convert to fraction form
    306,761.88/423,266.32 = 193,519/x
  3. Step 3: Cross multiply
    306,761.88x = 423,266.32 × 193,519
  4. Step 4: Simplify right side
    306,761.88x = 81,910,074,980.08
  5. Step 5: Solve for x
    x = 81,910,074,980.08/306,761.88
  6. Step 6: Final answer
    x = 267,015.17

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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.