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Finding the Fourth Proportional to 252,266.57, 378,391.65 and 102,462.54

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Solution

The fourth proportional to 252,266.57, 378,391.65 and 102,462.54 is: 153,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,266.57 : 378,391.65 = 102,462.54 : x
  2. Step 2: Convert to fraction form
    252,266.57/378,391.65 = 102,462.54/x
  3. Step 3: Cross multiply
    252,266.57x = 378,391.65 × 102,462.54
  4. Step 4: Simplify right side
    252,266.57x = 38,770,968,346.94
  5. Step 5: Solve for x
    x = 38,770,968,346.94/252,266.57
  6. Step 6: Final answer
    x = 153,690.47

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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.