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Finding the Fourth Proportional to 385,189.31, 531,576.91 and 213,104.31

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Solution

The fourth proportional to 385,189.31, 531,576.91 and 213,104.31 is: 294,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,189.31 : 531,576.91 = 213,104.31 : x
  2. Step 2: Convert to fraction form
    385,189.31/531,576.91 = 213,104.31/x
  3. Step 3: Cross multiply
    385,189.31x = 531,576.91 × 213,104.31
  4. Step 4: Simplify right side
    385,189.31x = 113,281,330,617.48
  5. Step 5: Solve for x
    x = 113,281,330,617.48/385,189.31
  6. Step 6: Final answer
    x = 294,092.61

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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.