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Finding the Fourth Proportional to 497,092.07, 685,991.63 and 282,236.74

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Solution

The fourth proportional to 497,092.07, 685,991.63 and 282,236.74 is: 389,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,092.07 : 685,991.63 = 282,236.74 : x
  2. Step 2: Convert to fraction form
    497,092.07/685,991.63 = 282,236.74/x
  3. Step 3: Cross multiply
    497,092.07x = 685,991.63 × 282,236.74
  4. Step 4: Simplify right side
    497,092.07x = 193,612,040,309.10
  5. Step 5: Solve for x
    x = 193,612,040,309.10/497,092.07
  6. Step 6: Final answer
    x = 389,489.29

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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.