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Finding the Fourth Proportional to 382,806.60, 528,267.92 and 213,040.73

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Solution

The fourth proportional to 382,806.60, 528,267.92 and 213,040.73 is: 293,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,806.60 : 528,267.92 = 213,040.73 : x
  2. Step 2: Convert to fraction form
    382,806.60/528,267.92 = 213,040.73/x
  3. Step 3: Cross multiply
    382,806.60x = 528,267.92 × 213,040.73
  4. Step 4: Simplify right side
    382,806.60x = 112,542,579,605.84
  5. Step 5: Solve for x
    x = 112,542,579,605.84/382,806.60
  6. Step 6: Final answer
    x = 293,993.31

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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.