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Finding the Fourth Proportional to 500,791.61, 691,331.76 and 285,890.11

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Solution

The fourth proportional to 500,791.61, 691,331.76 and 285,890.11 is: 394,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,791.61 : 691,331.76 = 285,890.11 : x
  2. Step 2: Convert to fraction form
    500,791.61/691,331.76 = 285,890.11/x
  3. Step 3: Cross multiply
    500,791.61x = 691,331.76 × 285,890.11
  4. Step 4: Simplify right side
    500,791.61x = 197,644,911,184.56
  5. Step 5: Solve for x
    x = 197,644,911,184.56/500,791.61
  6. Step 6: Final answer
    x = 394,664.98

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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.