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Finding the Fourth Proportional to 309,530.16, 427,359.24 and 193,420.44

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Solution

The fourth proportional to 309,530.16, 427,359.24 and 193,420.44 is: 267,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,530.16 : 427,359.24 = 193,420.44 : x
  2. Step 2: Convert to fraction form
    309,530.16/427,359.24 = 193,420.44/x
  3. Step 3: Cross multiply
    309,530.16x = 427,359.24 × 193,420.44
  4. Step 4: Simplify right side
    309,530.16x = 82,660,012,238.87
  5. Step 5: Solve for x
    x = 82,660,012,238.87/309,530.16
  6. Step 6: Final answer
    x = 267,049.95

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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.