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Finding the Fourth Proportional to 568,420.86, 782,429.76 and 495,695.44

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Solution

The fourth proportional to 568,420.86, 782,429.76 and 495,695.44 is: 682,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,420.86 : 782,429.76 = 495,695.44 : x
  2. Step 2: Convert to fraction form
    568,420.86/782,429.76 = 495,695.44/x
  3. Step 3: Cross multiply
    568,420.86x = 782,429.76 × 495,695.44
  4. Step 4: Simplify right side
    568,420.86x = 387,846,861,673.82
  5. Step 5: Solve for x
    x = 387,846,861,673.82/568,420.86
  6. Step 6: Final answer
    x = 682,323.41

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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.