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Finding the Fourth Proportional to 414,538.40, 622,172.10 and 245,847.80

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Solution

The fourth proportional to 414,538.40, 622,172.10 and 245,847.80 is: 368,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,538.40 : 622,172.10 = 245,847.80 : x
  2. Step 2: Convert to fraction form
    414,538.40/622,172.10 = 245,847.80/x
  3. Step 3: Cross multiply
    414,538.40x = 622,172.10 × 245,847.80
  4. Step 4: Simplify right side
    414,538.40x = 152,959,642,006.38
  5. Step 5: Solve for x
    x = 152,959,642,006.38/414,538.40
  6. Step 6: Final answer
    x = 368,987.87

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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.