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Finding the Fourth Proportional to 379,064.76, 568,407 and 126,256.38

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Solution

The fourth proportional to 379,064.76, 568,407 and 126,256.38 is: 189,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,064.76 : 568,407 = 126,256.38 : x
  2. Step 2: Convert to fraction form
    379,064.76/568,407 = 126,256.38/x
  3. Step 3: Cross multiply
    379,064.76x = 568,407 × 126,256.38
  4. Step 4: Simplify right side
    379,064.76x = 71,765,010,186.66
  5. Step 5: Solve for x
    x = 71,765,010,186.66/379,064.76
  6. Step 6: Final answer
    x = 189,321.24

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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.