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Finding the Fourth Proportional to 496,580.63, 685,233.92 and 278,739.41

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Solution

The fourth proportional to 496,580.63, 685,233.92 and 278,739.41 is: 384,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,580.63 : 685,233.92 = 278,739.41 : x
  2. Step 2: Convert to fraction form
    496,580.63/685,233.92 = 278,739.41/x
  3. Step 3: Cross multiply
    496,580.63x = 685,233.92 × 278,739.41
  4. Step 4: Simplify right side
    496,580.63x = 191,001,703,274.69
  5. Step 5: Solve for x
    x = 191,001,703,274.69/496,580.63
  6. Step 6: Final answer
    x = 384,633.82

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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.