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Finding the Fourth Proportional to 415,187.40, 622,781.10 and 115,714.20

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Solution

The fourth proportional to 415,187.40, 622,781.10 and 115,714.20 is: 173,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,187.40 : 622,781.10 = 115,714.20 : x
  2. Step 2: Convert to fraction form
    415,187.40/622,781.10 = 115,714.20/x
  3. Step 3: Cross multiply
    415,187.40x = 622,781.10 × 115,714.20
  4. Step 4: Simplify right side
    415,187.40x = 72,064,616,761.62
  5. Step 5: Solve for x
    x = 72,064,616,761.62/415,187.40
  6. Step 6: Final answer
    x = 173,571.30

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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.