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Finding the Fourth Proportional to 511,781.72, 706,260 and 285,441.80

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Solution

The fourth proportional to 511,781.72, 706,260 and 285,441.80 is: 393,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,781.72 : 706,260 = 285,441.80 : x
  2. Step 2: Convert to fraction form
    511,781.72/706,260 = 285,441.80/x
  3. Step 3: Cross multiply
    511,781.72x = 706,260 × 285,441.80
  4. Step 4: Simplify right side
    511,781.72x = 201,596,125,668
  5. Step 5: Solve for x
    x = 201,596,125,668/511,781.72
  6. Step 6: Final answer
    x = 393,910.37

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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.