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Finding the Fourth Proportional to 206,378.63, 309,598.70 and 73,247.73

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Solution

The fourth proportional to 206,378.63, 309,598.70 and 73,247.73 is: 109,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,378.63 : 309,598.70 = 73,247.73 : x
  2. Step 2: Convert to fraction form
    206,378.63/309,598.70 = 73,247.73/x
  3. Step 3: Cross multiply
    206,378.63x = 309,598.70 × 73,247.73
  4. Step 4: Simplify right side
    206,378.63x = 22,677,401,985.95
  5. Step 5: Solve for x
    x = 22,677,401,985.95/206,378.63
  6. Step 6: Final answer
    x = 109,882.51

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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.