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Finding the Fourth Proportional to 304,912.78, 457,788.11 and 155,253.63

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Solution

The fourth proportional to 304,912.78, 457,788.11 and 155,253.63 is: 233,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,912.78 : 457,788.11 = 155,253.63 : x
  2. Step 2: Convert to fraction form
    304,912.78/457,788.11 = 155,253.63/x
  3. Step 3: Cross multiply
    304,912.78x = 457,788.11 × 155,253.63
  4. Step 4: Simplify right side
    304,912.78x = 71,073,265,072.07
  5. Step 5: Solve for x
    x = 71,073,265,072.07/304,912.78
  6. Step 6: Final answer
    x = 233,093.76

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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.