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Finding the Fourth Proportional to 278,546.40, 384,503.76 and 187,956

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Solution

The fourth proportional to 278,546.40, 384,503.76 and 187,956 is: 259,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,546.40 : 384,503.76 = 187,956 : x
  2. Step 2: Convert to fraction form
    278,546.40/384,503.76 = 187,956/x
  3. Step 3: Cross multiply
    278,546.40x = 384,503.76 × 187,956
  4. Step 4: Simplify right side
    278,546.40x = 72,269,788,714.56
  5. Step 5: Solve for x
    x = 72,269,788,714.56/278,546.40
  6. Step 6: Final answer
    x = 259,453.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.