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Finding the Fourth Proportional to 253,034.56, 379,422.84 and 84,494.35

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Solution

The fourth proportional to 253,034.56, 379,422.84 and 84,494.35 is: 126,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,034.56 : 379,422.84 = 84,494.35 : x
  2. Step 2: Convert to fraction form
    253,034.56/379,422.84 = 84,494.35/x
  3. Step 3: Cross multiply
    253,034.56x = 379,422.84 × 84,494.35
  4. Step 4: Simplify right side
    253,034.56x = 32,059,084,343.84
  5. Step 5: Solve for x
    x = 32,059,084,343.84/253,034.56
  6. Step 6: Final answer
    x = 126,698.44

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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.