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Finding the Fourth Proportional to 289,843.80, 406,057.80 and 289,843.80

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Solution

The fourth proportional to 289,843.80, 406,057.80 and 289,843.80 is: 406,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,843.80 : 406,057.80 = 289,843.80 : x
  2. Step 2: Convert to fraction form
    289,843.80/406,057.80 = 289,843.80/x
  3. Step 3: Cross multiply
    289,843.80x = 406,057.80 × 289,843.80
  4. Step 4: Simplify right side
    289,843.80x = 117,693,335,771.64
  5. Step 5: Solve for x
    x = 117,693,335,771.64/289,843.80
  6. Step 6: Final answer
    x = 406,057.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.