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Finding the Fourth Proportional to 511,910.42, 706,431.66 and 282,469.82

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Solution

The fourth proportional to 511,910.42, 706,431.66 and 282,469.82 is: 389,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,910.42 : 706,431.66 = 282,469.82 : x
  2. Step 2: Convert to fraction form
    511,910.42/706,431.66 = 282,469.82/x
  3. Step 3: Cross multiply
    511,910.42x = 706,431.66 × 282,469.82
  4. Step 4: Simplify right side
    511,910.42x = 199,545,623,842.50
  5. Step 5: Solve for x
    x = 199,545,623,842.50/511,910.42
  6. Step 6: Final answer
    x = 389,805.75

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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.