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Finding the Fourth Proportional to 278,212, 383,932.56 and 158,980

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Solution

The fourth proportional to 278,212, 383,932.56 and 158,980 is: 219,392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,212 : 383,932.56 = 158,980 : x
  2. Step 2: Convert to fraction form
    278,212/383,932.56 = 158,980/x
  3. Step 3: Cross multiply
    278,212x = 383,932.56 × 158,980
  4. Step 4: Simplify right side
    278,212x = 61,037,598,388.80
  5. Step 5: Solve for x
    x = 61,037,598,388.80/278,212
  6. Step 6: Final answer
    x = 219,392.40

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