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Finding the Fourth Proportional to 385,668.03, 532,223.97 and 213,591.63

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Solution

The fourth proportional to 385,668.03, 532,223.97 and 213,591.63 is: 294,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,668.03 : 532,223.97 = 213,591.63 : x
  2. Step 2: Convert to fraction form
    385,668.03/532,223.97 = 213,591.63/x
  3. Step 3: Cross multiply
    385,668.03x = 532,223.97 × 213,591.63
  4. Step 4: Simplify right side
    385,668.03x = 113,678,585,277.37
  5. Step 5: Solve for x
    x = 113,678,585,277.37/385,668.03
  6. Step 6: Final answer
    x = 294,757.61

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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.