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Finding the Fourth Proportional to 308,584.80, 426,014.96 and 201,220.32

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Solution

The fourth proportional to 308,584.80, 426,014.96 and 201,220.32 is: 277,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,584.80 : 426,014.96 = 201,220.32 : x
  2. Step 2: Convert to fraction form
    308,584.80/426,014.96 = 201,220.32/x
  3. Step 3: Cross multiply
    308,584.80x = 426,014.96 × 201,220.32
  4. Step 4: Simplify right side
    308,584.80x = 85,722,866,575.99
  5. Step 5: Solve for x
    x = 85,722,866,575.99/308,584.80
  6. Step 6: Final answer
    x = 277,793.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.