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Finding the Fourth Proportional to 206,425.70, 309,638.55 and 174,932.90

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Solution

The fourth proportional to 206,425.70, 309,638.55 and 174,932.90 is: 262,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,425.70 : 309,638.55 = 174,932.90 : x
  2. Step 2: Convert to fraction form
    206,425.70/309,638.55 = 174,932.90/x
  3. Step 3: Cross multiply
    206,425.70x = 309,638.55 × 174,932.90
  4. Step 4: Simplify right side
    206,425.70x = 54,165,969,503.30
  5. Step 5: Solve for x
    x = 54,165,969,503.30/206,425.70
  6. Step 6: Final answer
    x = 262,399.35

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1.5x scale

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.