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Finding the Fourth Proportional to 415,200.20, 622,767.90 and 162,431.60

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Solution

The fourth proportional to 415,200.20, 622,767.90 and 162,431.60 is: 243,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,200.20 : 622,767.90 = 162,431.60 : x
  2. Step 2: Convert to fraction form
    415,200.20/622,767.90 = 162,431.60/x
  3. Step 3: Cross multiply
    415,200.20x = 622,767.90 × 162,431.60
  4. Step 4: Simplify right side
    415,200.20x = 101,157,186,425.64
  5. Step 5: Solve for x
    x = 101,157,186,425.64/415,200.20
  6. Step 6: Final answer
    x = 243,634.72

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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.