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Finding the Fourth Proportional to 383,022, 528,580.08 and 213,252.48

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Solution

The fourth proportional to 383,022, 528,580.08 and 213,252.48 is: 294,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,022 : 528,580.08 = 213,252.48 : x
  2. Step 2: Convert to fraction form
    383,022/528,580.08 = 213,252.48/x
  3. Step 3: Cross multiply
    383,022x = 528,580.08 × 213,252.48
  4. Step 4: Simplify right side
    383,022x = 112,721,012,938.60
  5. Step 5: Solve for x
    x = 112,721,012,938.60/383,022
  6. Step 6: Final answer
    x = 294,293.83

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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.