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Finding the Fourth Proportional to 228,714.30, 315,635.81 and 126,739.49

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Solution

The fourth proportional to 228,714.30, 315,635.81 and 126,739.49 is: 174,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,714.30 : 315,635.81 = 126,739.49 : x
  2. Step 2: Convert to fraction form
    228,714.30/315,635.81 = 126,739.49/x
  3. Step 3: Cross multiply
    228,714.30x = 315,635.81 × 126,739.49
  4. Step 4: Simplify right side
    228,714.30x = 40,003,519,373.26
  5. Step 5: Solve for x
    x = 40,003,519,373.26/228,714.30
  6. Step 6: Final answer
    x = 174,906.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.