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Finding the Fourth Proportional to 414,536.40, 622,265.40 and 256,942.80

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Solution

The fourth proportional to 414,536.40, 622,265.40 and 256,942.80 is: 385,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,536.40 : 622,265.40 = 256,942.80 : x
  2. Step 2: Convert to fraction form
    414,536.40/622,265.40 = 256,942.80/x
  3. Step 3: Cross multiply
    414,536.40x = 622,265.40 × 256,942.80
  4. Step 4: Simplify right side
    414,536.40x = 159,886,614,219.12
  5. Step 5: Solve for x
    x = 159,886,614,219.12/414,536.40
  6. Step 6: Final answer
    x = 385,699.82

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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.