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Finding the Fourth Proportional to 496,804.24, 685,587.90 and 278,982.68

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Solution

The fourth proportional to 496,804.24, 685,587.90 and 278,982.68 is: 384,995.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,804.24 : 685,587.90 = 278,982.68 : x
  2. Step 2: Convert to fraction form
    496,804.24/685,587.90 = 278,982.68/x
  3. Step 3: Cross multiply
    496,804.24x = 685,587.90 × 278,982.68
  4. Step 4: Simplify right side
    496,804.24x = 191,267,149,622.97
  5. Step 5: Solve for x
    x = 191,267,149,622.97/496,804.24
  6. Step 6: Final answer
    x = 384,995.01

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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.