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Finding the Fourth Proportional to 680,315.20, 1,020,472.80 and 206,999.80

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Solution

The fourth proportional to 680,315.20, 1,020,472.80 and 206,999.80 is: 310,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,315.20 : 1,020,472.80 = 206,999.80 : x
  2. Step 2: Convert to fraction form
    680,315.20/1,020,472.80 = 206,999.80/x
  3. Step 3: Cross multiply
    680,315.20x = 1,020,472.80 × 206,999.80
  4. Step 4: Simplify right side
    680,315.20x = 211,237,665,505.44
  5. Step 5: Solve for x
    x = 211,237,665,505.44/680,315.20
  6. Step 6: Final answer
    x = 310,499.70

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Similar ratio
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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.