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Finding the Fourth Proportional to 406,636.11, 561,161.07 and 225,351

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Solution

The fourth proportional to 406,636.11, 561,161.07 and 225,351 is: 310,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,636.11 : 561,161.07 = 225,351 : x
  2. Step 2: Convert to fraction form
    406,636.11/561,161.07 = 225,351/x
  3. Step 3: Cross multiply
    406,636.11x = 561,161.07 × 225,351
  4. Step 4: Simplify right side
    406,636.11x = 126,458,208,285.57
  5. Step 5: Solve for x
    x = 126,458,208,285.57/406,636.11
  6. Step 6: Final answer
    x = 310,986.17

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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.