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Finding the Fourth Proportional to 347,642, 479,745.98 and 188,666

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Solution

The fourth proportional to 347,642, 479,745.98 and 188,666 is: 260,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,642 : 479,745.98 = 188,666 : x
  2. Step 2: Convert to fraction form
    347,642/479,745.98 = 188,666/x
  3. Step 3: Cross multiply
    347,642x = 479,745.98 × 188,666
  4. Step 4: Simplify right side
    347,642x = 90,511,755,062.68
  5. Step 5: Solve for x
    x = 90,511,755,062.68/347,642
  6. Step 6: Final answer
    x = 260,359.09

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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.