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Finding the Fourth Proportional to 561,659.92, 842,542.68 and 206,680.72

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Solution

The fourth proportional to 561,659.92, 842,542.68 and 206,680.72 is: 310,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,659.92 : 842,542.68 = 206,680.72 : x
  2. Step 2: Convert to fraction form
    561,659.92/842,542.68 = 206,680.72/x
  3. Step 3: Cross multiply
    561,659.92x = 842,542.68 × 206,680.72
  4. Step 4: Simplify right side
    561,659.92x = 174,137,327,733.13
  5. Step 5: Solve for x
    x = 174,137,327,733.13/561,659.92
  6. Step 6: Final answer
    x = 310,040.51

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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.