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Finding the Fourth Proportional to 252,813, 379,281.90 and 75,319.32

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Solution

The fourth proportional to 252,813, 379,281.90 and 75,319.32 is: 112,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,813 : 379,281.90 = 75,319.32 : x
  2. Step 2: Convert to fraction form
    252,813/379,281.90 = 75,319.32/x
  3. Step 3: Cross multiply
    252,813x = 379,281.90 × 75,319.32
  4. Step 4: Simplify right side
    252,813x = 28,567,254,796.31
  5. Step 5: Solve for x
    x = 28,567,254,796.31/252,813
  6. Step 6: Final answer
    x = 112,997.57

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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.