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Finding the Fourth Proportional to 415,048.40, 622,183.80 and 325,041.20

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Solution

The fourth proportional to 415,048.40, 622,183.80 and 325,041.20 is: 487,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,048.40 : 622,183.80 = 325,041.20 : x
  2. Step 2: Convert to fraction form
    415,048.40/622,183.80 = 325,041.20/x
  3. Step 3: Cross multiply
    415,048.40x = 622,183.80 × 325,041.20
  4. Step 4: Simplify right side
    415,048.40x = 202,235,368,972.56
  5. Step 5: Solve for x
    x = 202,235,368,972.56/415,048.40
  6. Step 6: Final answer
    x = 487,257.31

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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.