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Finding the Fourth Proportional to 304,679.45, 420,428.31 and 182,147.61

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Solution

The fourth proportional to 304,679.45, 420,428.31 and 182,147.61 is: 251,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,679.45 : 420,428.31 = 182,147.61 : x
  2. Step 2: Convert to fraction form
    304,679.45/420,428.31 = 182,147.61/x
  3. Step 3: Cross multiply
    304,679.45x = 420,428.31 × 182,147.61
  4. Step 4: Simplify right side
    304,679.45x = 76,580,012,736.39
  5. Step 5: Solve for x
    x = 76,580,012,736.39/304,679.45
  6. Step 6: Final answer
    x = 251,346.17

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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.