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Finding the Fourth Proportional to 252,914.70, 379,262.70 and 126,506.10

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Solution

The fourth proportional to 252,914.70, 379,262.70 and 126,506.10 is: 189,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,914.70 : 379,262.70 = 126,506.10 : x
  2. Step 2: Convert to fraction form
    252,914.70/379,262.70 = 126,506.10/x
  3. Step 3: Cross multiply
    252,914.70x = 379,262.70 × 126,506.10
  4. Step 4: Simplify right side
    252,914.70x = 47,979,045,052.47
  5. Step 5: Solve for x
    x = 47,979,045,052.47/252,914.70
  6. Step 6: Final answer
    x = 189,704.45

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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.