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Finding the Fourth Proportional to 415,054.20, 622,350.90 and 165,454.20

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Solution

The fourth proportional to 415,054.20, 622,350.90 and 165,454.20 is: 248,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,054.20 : 622,350.90 = 165,454.20 : x
  2. Step 2: Convert to fraction form
    415,054.20/622,350.90 = 165,454.20/x
  3. Step 3: Cross multiply
    415,054.20x = 622,350.90 × 165,454.20
  4. Step 4: Simplify right side
    415,054.20x = 102,970,570,278.78
  5. Step 5: Solve for x
    x = 102,970,570,278.78/415,054.20
  6. Step 6: Final answer
    x = 248,089.46

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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.