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Finding the Fourth Proportional to 206,042.38, 310,467.58 and 169,422.82

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Solution

The fourth proportional to 206,042.38, 310,467.58 and 169,422.82 is: 255,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,042.38 : 310,467.58 = 169,422.82 : x
  2. Step 2: Convert to fraction form
    206,042.38/310,467.58 = 169,422.82/x
  3. Step 3: Cross multiply
    206,042.38x = 310,467.58 × 169,422.82
  4. Step 4: Simplify right side
    206,042.38x = 52,600,292,922.18
  5. Step 5: Solve for x
    x = 52,600,292,922.18/206,042.38
  6. Step 6: Final answer
    x = 255,288.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.