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Finding the Fourth Proportional to 252,296, 378,444 and 102,617.72

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Solution

The fourth proportional to 252,296, 378,444 and 102,617.72 is: 153,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,296 : 378,444 = 102,617.72 : x
  2. Step 2: Convert to fraction form
    252,296/378,444 = 102,617.72/x
  3. Step 3: Cross multiply
    252,296x = 378,444 × 102,617.72
  4. Step 4: Simplify right side
    252,296x = 38,835,060,427.68
  5. Step 5: Solve for x
    x = 38,835,060,427.68/252,296
  6. Step 6: Final answer
    x = 153,926.58

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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.