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Finding the Fourth Proportional to 296,720.80, 409,251.36 and 206,076.94

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Solution

The fourth proportional to 296,720.80, 409,251.36 and 206,076.94 is: 284,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,720.80 : 409,251.36 = 206,076.94 : x
  2. Step 2: Convert to fraction form
    296,720.80/409,251.36 = 206,076.94/x
  3. Step 3: Cross multiply
    296,720.80x = 409,251.36 × 206,076.94
  4. Step 4: Simplify right side
    296,720.80x = 84,337,267,959.64
  5. Step 5: Solve for x
    x = 84,337,267,959.64/296,720.80
  6. Step 6: Final answer
    x = 284,231.06

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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.