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Finding the Fourth Proportional to 384,806.20, 531,031.02 and 215,040.28

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Solution

The fourth proportional to 384,806.20, 531,031.02 and 215,040.28 is: 296,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,806.20 : 531,031.02 = 215,040.28 : x
  2. Step 2: Convert to fraction form
    384,806.20/531,031.02 = 215,040.28/x
  3. Step 3: Cross multiply
    384,806.20x = 531,031.02 × 215,040.28
  4. Step 4: Simplify right side
    384,806.20x = 114,193,059,229.49
  5. Step 5: Solve for x
    x = 114,193,059,229.49/384,806.20
  6. Step 6: Final answer
    x = 296,754.73

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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.