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Finding the Fourth Proportional to 320,674.10, 442,791.84 and 206,009.66

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Solution

The fourth proportional to 320,674.10, 442,791.84 and 206,009.66 is: 284,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,674.10 : 442,791.84 = 206,009.66 : x
  2. Step 2: Convert to fraction form
    320,674.10/442,791.84 = 206,009.66/x
  3. Step 3: Cross multiply
    320,674.10x = 442,791.84 × 206,009.66
  4. Step 4: Simplify right side
    320,674.10x = 91,219,396,409.17
  5. Step 5: Solve for x
    x = 91,219,396,409.17/320,674.10
  6. Step 6: Final answer
    x = 284,461.38

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1.5x scale

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.