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Finding the Fourth Proportional to 415,070.37, 622,543.55 and 115,519.73

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Solution

The fourth proportional to 415,070.37, 622,543.55 and 115,519.73 is: 173,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,070.37 : 622,543.55 = 115,519.73 : x
  2. Step 2: Convert to fraction form
    415,070.37/622,543.55 = 115,519.73/x
  3. Step 3: Cross multiply
    415,070.37x = 622,543.55 × 115,519.73
  4. Step 4: Simplify right side
    415,070.37x = 71,916,059,118.93
  5. Step 5: Solve for x
    x = 71,916,059,118.93/415,070.37
  6. Step 6: Final answer
    x = 173,262.33

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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.