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Finding the Fourth Proportional to 496,489.32, 685,295.91 and 292,658.49

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Solution

The fourth proportional to 496,489.32, 685,295.91 and 292,658.49 is: 403,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,489.32 : 685,295.91 = 292,658.49 : x
  2. Step 2: Convert to fraction form
    496,489.32/685,295.91 = 292,658.49/x
  3. Step 3: Cross multiply
    496,489.32x = 685,295.91 × 292,658.49
  4. Step 4: Simplify right side
    496,489.32x = 200,557,666,223.78
  5. Step 5: Solve for x
    x = 200,557,666,223.78/496,489.32
  6. Step 6: Final answer
    x = 403,951.62

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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.