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Finding the Fourth Proportional to 206,417.70, 309,626.55 and 180,173.70

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Solution

The fourth proportional to 206,417.70, 309,626.55 and 180,173.70 is: 270,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,417.70 : 309,626.55 = 180,173.70 : x
  2. Step 2: Convert to fraction form
    206,417.70/309,626.55 = 180,173.70/x
  3. Step 3: Cross multiply
    206,417.70x = 309,626.55 × 180,173.70
  4. Step 4: Simplify right side
    206,417.70x = 55,786,561,131.74
  5. Step 5: Solve for x
    x = 55,786,561,131.74/206,417.70
  6. Step 6: Final answer
    x = 270,260.55

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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.