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Finding the Fourth Proportional to 252,288, 378,432 and 102,609.72

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Solution

The fourth proportional to 252,288, 378,432 and 102,609.72 is: 153,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,288 : 378,432 = 102,609.72 : x
  2. Step 2: Convert to fraction form
    252,288/378,432 = 102,609.72/x
  3. Step 3: Cross multiply
    252,288x = 378,432 × 102,609.72
  4. Step 4: Simplify right side
    252,288x = 38,830,801,559.04
  5. Step 5: Solve for x
    x = 38,830,801,559.04/252,288
  6. Step 6: Final answer
    x = 153,914.58

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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.