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Finding the Fourth Proportional to 228,714.31, 315,627.60 and 126,741.47

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Solution

The fourth proportional to 228,714.31, 315,627.60 and 126,741.47 is: 174,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,714.31 : 315,627.60 = 126,741.47 : x
  2. Step 2: Convert to fraction form
    228,714.31/315,627.60 = 126,741.47/x
  3. Step 3: Cross multiply
    228,714.31x = 315,627.60 × 126,741.47
  4. Step 4: Simplify right side
    228,714.31x = 40,003,105,996.57
  5. Step 5: Solve for x
    x = 40,003,105,996.57/228,714.31
  6. Step 6: Final answer
    x = 174,904.25

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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.