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Finding the Fourth Proportional to 413,999.85, 620,999.78 and 133,517.10

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Solution

The fourth proportional to 413,999.85, 620,999.78 and 133,517.10 is: 200,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,999.85 : 620,999.78 = 133,517.10 : x
  2. Step 2: Convert to fraction form
    413,999.85/620,999.78 = 133,517.10/x
  3. Step 3: Cross multiply
    413,999.85x = 620,999.78 × 133,517.10
  4. Step 4: Simplify right side
    413,999.85x = 82,914,089,726.24
  5. Step 5: Solve for x
    x = 82,914,089,726.24/413,999.85
  6. Step 6: Final answer
    x = 200,275.65

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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.