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Finding the Fourth Proportional to 415,047.40, 622,182.30 and 325,040.20

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Solution

The fourth proportional to 415,047.40, 622,182.30 and 325,040.20 is: 487,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,047.40 : 622,182.30 = 325,040.20 : x
  2. Step 2: Convert to fraction form
    415,047.40/622,182.30 = 325,040.20/x
  3. Step 3: Cross multiply
    415,047.40x = 622,182.30 × 325,040.20
  4. Step 4: Simplify right side
    415,047.40x = 202,234,259,228.46
  5. Step 5: Solve for x
    x = 202,234,259,228.46/415,047.40
  6. Step 6: Final answer
    x = 487,255.82

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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.