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Finding the Fourth Proportional to 385,833.70, 532,438.14 and 213,744.61

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Solution

The fourth proportional to 385,833.70, 532,438.14 and 213,744.61 is: 294,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,833.70 : 532,438.14 = 213,744.61 : x
  2. Step 2: Convert to fraction form
    385,833.70/532,438.14 = 213,744.61/x
  3. Step 3: Cross multiply
    385,833.70x = 532,438.14 × 213,744.61
  4. Step 4: Simplify right side
    385,833.70x = 113,805,782,583.43
  5. Step 5: Solve for x
    x = 113,805,782,583.43/385,833.70
  6. Step 6: Final answer
    x = 294,960.71

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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.