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Finding the Fourth Proportional to 285,402.34, 394,119.97 and 213,657.82

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Solution

The fourth proportional to 285,402.34, 394,119.97 and 213,657.82 is: 295,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,402.34 : 394,119.97 = 213,657.82 : x
  2. Step 2: Convert to fraction form
    285,402.34/394,119.97 = 213,657.82/x
  3. Step 3: Cross multiply
    285,402.34x = 394,119.97 × 213,657.82
  4. Step 4: Simplify right side
    285,402.34x = 84,206,813,608.67
  5. Step 5: Solve for x
    x = 84,206,813,608.67/285,402.34
  6. Step 6: Final answer
    x = 295,045.98

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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.