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Finding the Fourth Proportional to 225,957.89, 338,938.78 and 57,478.38

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Solution

The fourth proportional to 225,957.89, 338,938.78 and 57,478.38 is: 86,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,957.89 : 338,938.78 = 57,478.38 : x
  2. Step 2: Convert to fraction form
    225,957.89/338,938.78 = 57,478.38/x
  3. Step 3: Cross multiply
    225,957.89x = 338,938.78 × 57,478.38
  4. Step 4: Simplify right side
    225,957.89x = 19,481,651,849.88
  5. Step 5: Solve for x
    x = 19,481,651,849.88/225,957.89
  6. Step 6: Final answer
    x = 86,218.06

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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.