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Finding the Fourth Proportional to 496,584.91, 685,239.81 and 278,743.69

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Solution

The fourth proportional to 496,584.91, 685,239.81 and 278,743.69 is: 384,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,584.91 : 685,239.81 = 278,743.69 : x
  2. Step 2: Convert to fraction form
    496,584.91/685,239.81 = 278,743.69/x
  3. Step 3: Cross multiply
    496,584.91x = 685,239.81 × 278,743.69
  4. Step 4: Simplify right side
    496,584.91x = 191,006,273,174.30
  5. Step 5: Solve for x
    x = 191,006,273,174.30/496,584.91
  6. Step 6: Final answer
    x = 384,639.70

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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.