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Finding the Fourth Proportional to 266,427.20, 399,640.80 and 206,940.80

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Solution

The fourth proportional to 266,427.20, 399,640.80 and 206,940.80 is: 310,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,427.20 : 399,640.80 = 206,940.80 : x
  2. Step 2: Convert to fraction form
    266,427.20/399,640.80 = 206,940.80/x
  3. Step 3: Cross multiply
    266,427.20x = 399,640.80 × 206,940.80
  4. Step 4: Simplify right side
    266,427.20x = 82,701,986,864.64
  5. Step 5: Solve for x
    x = 82,701,986,864.64/266,427.20
  6. Step 6: Final answer
    x = 310,411.20

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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.