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Finding the Fourth Proportional to 289,781.26, 399,897.87 and 162,456.88

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Solution

The fourth proportional to 289,781.26, 399,897.87 and 162,456.88 is: 224,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,781.26 : 399,897.87 = 162,456.88 : x
  2. Step 2: Convert to fraction form
    289,781.26/399,897.87 = 162,456.88/x
  3. Step 3: Cross multiply
    289,781.26x = 399,897.87 × 162,456.88
  4. Step 4: Simplify right side
    289,781.26x = 64,966,160,278.85
  5. Step 5: Solve for x
    x = 64,966,160,278.85/289,781.26
  6. Step 6: Final answer
    x = 224,190.34

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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.