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Finding the Fourth Proportional to 289,829.88, 399,781.20 and 209,375.64

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Solution

The fourth proportional to 289,829.88, 399,781.20 and 209,375.64 is: 288,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,829.88 : 399,781.20 = 209,375.64 : x
  2. Step 2: Convert to fraction form
    289,829.88/399,781.20 = 209,375.64/x
  3. Step 3: Cross multiply
    289,829.88x = 399,781.20 × 209,375.64
  4. Step 4: Simplify right side
    289,829.88x = 83,704,444,609.97
  5. Step 5: Solve for x
    x = 83,704,444,609.97/289,829.88
  6. Step 6: Final answer
    x = 288,805.44

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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.