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Finding the Fourth Proportional to 496,582.54, 685,236.54 and 278,741.31

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Solution

The fourth proportional to 496,582.54, 685,236.54 and 278,741.31 is: 384,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,582.54 : 685,236.54 = 278,741.31 : x
  2. Step 2: Convert to fraction form
    496,582.54/685,236.54 = 278,741.31/x
  3. Step 3: Cross multiply
    496,582.54x = 685,236.54 × 278,741.31
  4. Step 4: Simplify right side
    496,582.54x = 191,003,731,761.30
  5. Step 5: Solve for x
    x = 191,003,731,761.30/496,582.54
  6. Step 6: Final answer
    x = 384,636.43

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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.