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Finding the Fourth Proportional to 414,798.46, 622,568.55 and 212,532.55

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Solution

The fourth proportional to 414,798.46, 622,568.55 and 212,532.55 is: 318,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,798.46 : 622,568.55 = 212,532.55 : x
  2. Step 2: Convert to fraction form
    414,798.46/622,568.55 = 212,532.55/x
  3. Step 3: Cross multiply
    414,798.46x = 622,568.55 × 212,532.55
  4. Step 4: Simplify right side
    414,798.46x = 132,316,081,481.30
  5. Step 5: Solve for x
    x = 132,316,081,481.30/414,798.46
  6. Step 6: Final answer
    x = 318,988.84

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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.