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Finding the Fourth Proportional to 418,230, 626,992.25 and 181,394.28

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Solution

The fourth proportional to 418,230, 626,992.25 and 181,394.28 is: 271,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,230 : 626,992.25 = 181,394.28 : x
  2. Step 2: Convert to fraction form
    418,230/626,992.25 = 181,394.28/x
  3. Step 3: Cross multiply
    418,230x = 626,992.25 × 181,394.28
  4. Step 4: Simplify right side
    418,230x = 113,732,806,847.36
  5. Step 5: Solve for x
    x = 113,732,806,847.36/418,230
  6. Step 6: Final answer
    x = 271,938.42

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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.