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Finding the Fourth Proportional to 231,659.78, 320,300.49 and 202,896.96

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Solution

The fourth proportional to 231,659.78, 320,300.49 and 202,896.96 is: 280,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,659.78 : 320,300.49 = 202,896.96 : x
  2. Step 2: Convert to fraction form
    231,659.78/320,300.49 = 202,896.96/x
  3. Step 3: Cross multiply
    231,659.78x = 320,300.49 × 202,896.96
  4. Step 4: Simplify right side
    231,659.78x = 64,987,995,707.51
  5. Step 5: Solve for x
    x = 64,987,995,707.51/231,659.78
  6. Step 6: Final answer
    x = 280,532.07

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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.