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Finding the Fourth Proportional to 253,549.94, 380,324.88 and 206,108.42

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Solution

The fourth proportional to 253,549.94, 380,324.88 and 206,108.42 is: 309,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,549.94 : 380,324.88 = 206,108.42 : x
  2. Step 2: Convert to fraction form
    253,549.94/380,324.88 = 206,108.42/x
  3. Step 3: Cross multiply
    253,549.94x = 380,324.88 × 206,108.42
  4. Step 4: Simplify right side
    253,549.94x = 78,388,160,103.49
  5. Step 5: Solve for x
    x = 78,388,160,103.49/253,549.94
  6. Step 6: Final answer
    x = 309,162.61

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1.5x scale

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.