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Finding the Fourth Proportional to 252,310.40, 378,538.64 and 74,821.67

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Solution

The fourth proportional to 252,310.40, 378,538.64 and 74,821.67 is: 112,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,310.40 : 378,538.64 = 74,821.67 : x
  2. Step 2: Convert to fraction form
    252,310.40/378,538.64 = 74,821.67/x
  3. Step 3: Cross multiply
    252,310.40x = 378,538.64 × 74,821.67
  4. Step 4: Simplify right side
    252,310.40x = 28,322,893,204.33
  5. Step 5: Solve for x
    x = 28,322,893,204.33/252,310.40
  6. Step 6: Final answer
    x = 112,254.16

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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.