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Finding the Fourth Proportional to 414,720.40, 622,080.60 and 331,776.40

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Solution

The fourth proportional to 414,720.40, 622,080.60 and 331,776.40 is: 497,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,720.40 : 622,080.60 = 331,776.40 : x
  2. Step 2: Convert to fraction form
    414,720.40/622,080.60 = 331,776.40/x
  3. Step 3: Cross multiply
    414,720.40x = 622,080.60 × 331,776.40
  4. Step 4: Simplify right side
    414,720.40x = 206,391,661,977.84
  5. Step 5: Solve for x
    x = 206,391,661,977.84/414,720.40
  6. Step 6: Final answer
    x = 497,664.60

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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.