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Finding the Fourth Proportional to 289,402.88, 399,375.97 and 162,078.57

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Solution

The fourth proportional to 289,402.88, 399,375.97 and 162,078.57 is: 223,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,402.88 : 399,375.97 = 162,078.57 : x
  2. Step 2: Convert to fraction form
    289,402.88/399,375.97 = 162,078.57/x
  3. Step 3: Cross multiply
    289,402.88x = 399,375.97 × 162,078.57
  4. Step 4: Simplify right side
    289,402.88x = 64,730,285,704.77
  5. Step 5: Solve for x
    x = 64,730,285,704.77/289,402.88
  6. Step 6: Final answer
    x = 223,668.43

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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.