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Finding the Fourth Proportional to 497,054.26, 685,954.30 and 282,214.32

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Solution

The fourth proportional to 497,054.26, 685,954.30 and 282,214.32 is: 389,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,054.26 : 685,954.30 = 282,214.32 : x
  2. Step 2: Convert to fraction form
    497,054.26/685,954.30 = 282,214.32/x
  3. Step 3: Cross multiply
    497,054.26x = 685,954.30 × 282,214.32
  4. Step 4: Simplify right side
    497,054.26x = 193,586,121,484.73
  5. Step 5: Solve for x
    x = 193,586,121,484.73/497,054.26
  6. Step 6: Final answer
    x = 389,466.78

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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.