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Finding the Fourth Proportional to 305,093.76, 421,043.52 and 177,748.80

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Solution

The fourth proportional to 305,093.76, 421,043.52 and 177,748.80 is: 245,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,093.76 : 421,043.52 = 177,748.80 : x
  2. Step 2: Convert to fraction form
    305,093.76/421,043.52 = 177,748.80/x
  3. Step 3: Cross multiply
    305,093.76x = 421,043.52 × 177,748.80
  4. Step 4: Simplify right side
    305,093.76x = 74,839,980,427.78
  5. Step 5: Solve for x
    x = 74,839,980,427.78/305,093.76
  6. Step 6: Final answer
    x = 245,301.58

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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.