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Finding the Fourth Proportional to 252,296.70, 378,445.02 and 119,190.42

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Solution

The fourth proportional to 252,296.70, 378,445.02 and 119,190.42 is: 178,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,296.70 : 378,445.02 = 119,190.42 : x
  2. Step 2: Convert to fraction form
    252,296.70/378,445.02 = 119,190.42/x
  3. Step 3: Cross multiply
    252,296.70x = 378,445.02 × 119,190.42
  4. Step 4: Simplify right side
    252,296.70x = 45,107,020,880.71
  5. Step 5: Solve for x
    x = 45,107,020,880.71/252,296.70
  6. Step 6: Final answer
    x = 178,785.62

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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.