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Finding the Fourth Proportional to 415,634.76, 622,431.54 and 265,431.60

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Solution

The fourth proportional to 415,634.76, 622,431.54 and 265,431.60 is: 397,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,634.76 : 622,431.54 = 265,431.60 : x
  2. Step 2: Convert to fraction form
    415,634.76/622,431.54 = 265,431.60/x
  3. Step 3: Cross multiply
    415,634.76x = 622,431.54 × 265,431.60
  4. Step 4: Simplify right side
    415,634.76x = 165,212,999,552.66
  5. Step 5: Solve for x
    x = 165,212,999,552.66/415,634.76
  6. Step 6: Final answer
    x = 397,495.63

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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.