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Finding the Fourth Proportional to 418,234.44, 626,999 and 181,398.80

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Solution

The fourth proportional to 418,234.44, 626,999 and 181,398.80 is: 271,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,234.44 : 626,999 = 181,398.80 : x
  2. Step 2: Convert to fraction form
    418,234.44/626,999 = 181,398.80/x
  3. Step 3: Cross multiply
    418,234.44x = 626,999 × 181,398.80
  4. Step 4: Simplify right side
    418,234.44x = 113,736,866,201.20
  5. Step 5: Solve for x
    x = 113,736,866,201.20/418,234.44
  6. Step 6: Final answer
    x = 271,945.24

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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.