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Finding the Fourth Proportional to 206,043.38, 310,469.09 and 169,423.82

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Solution

The fourth proportional to 206,043.38, 310,469.09 and 169,423.82 is: 255,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,043.38 : 310,469.09 = 169,423.82 : x
  2. Step 2: Convert to fraction form
    206,043.38/310,469.09 = 169,423.82/x
  3. Step 3: Cross multiply
    206,043.38x = 310,469.09 × 169,423.82
  4. Step 4: Simplify right side
    206,043.38x = 52,600,859,219.72
  5. Step 5: Solve for x
    x = 52,600,859,219.72/206,043.38
  6. Step 6: Final answer
    x = 255,290.22

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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.