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Finding the Fourth Proportional to 415,422.83, 622,884.65 and 162,401.96

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Solution

The fourth proportional to 415,422.83, 622,884.65 and 162,401.96 is: 243,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,422.83 : 622,884.65 = 162,401.96 : x
  2. Step 2: Convert to fraction form
    415,422.83/622,884.65 = 162,401.96/x
  3. Step 3: Cross multiply
    415,422.83x = 622,884.65 × 162,401.96
  4. Step 4: Simplify right side
    415,422.83x = 101,157,689,672.63
  5. Step 5: Solve for x
    x = 101,157,689,672.63/415,422.83
  6. Step 6: Final answer
    x = 243,505.37

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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.