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Finding the Fourth Proportional to 252,321.81, 378,474.48 and 102,517.80

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Solution

The fourth proportional to 252,321.81, 378,474.48 and 102,517.80 is: 153,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,321.81 : 378,474.48 = 102,517.80 : x
  2. Step 2: Convert to fraction form
    252,321.81/378,474.48 = 102,517.80/x
  3. Step 3: Cross multiply
    252,321.81x = 378,474.48 × 102,517.80
  4. Step 4: Simplify right side
    252,321.81x = 38,800,371,045.74
  5. Step 5: Solve for x
    x = 38,800,371,045.74/252,321.81
  6. Step 6: Final answer
    x = 153,773.35

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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.