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Finding the Fourth Proportional to 378,020.40, 567,030.60 and 252,049.20

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Solution

The fourth proportional to 378,020.40, 567,030.60 and 252,049.20 is: 378,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,020.40 : 567,030.60 = 252,049.20 : x
  2. Step 2: Convert to fraction form
    378,020.40/567,030.60 = 252,049.20/x
  3. Step 3: Cross multiply
    378,020.40x = 567,030.60 × 252,049.20
  4. Step 4: Simplify right side
    378,020.40x = 142,919,609,105.52
  5. Step 5: Solve for x
    x = 142,919,609,105.52/378,020.40
  6. Step 6: Final answer
    x = 378,073.80

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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.