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Finding the Fourth Proportional to 252,996.49, 379,560.40 and 75,503.50

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Solution

The fourth proportional to 252,996.49, 379,560.40 and 75,503.50 is: 113,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,996.49 : 379,560.40 = 75,503.50 : x
  2. Step 2: Convert to fraction form
    252,996.49/379,560.40 = 75,503.50/x
  3. Step 3: Cross multiply
    252,996.49x = 379,560.40 × 75,503.50
  4. Step 4: Simplify right side
    252,996.49x = 28,658,138,661.40
  5. Step 5: Solve for x
    x = 28,658,138,661.40/252,996.49
  6. Step 6: Final answer
    x = 113,274.85

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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.