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Finding the Fourth Proportional to 406,622.82, 561,161.07 and 225,354.54

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Solution

The fourth proportional to 406,622.82, 561,161.07 and 225,354.54 is: 311,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,622.82 : 561,161.07 = 225,354.54 : x
  2. Step 2: Convert to fraction form
    406,622.82/561,161.07 = 225,354.54/x
  3. Step 3: Cross multiply
    406,622.82x = 561,161.07 × 225,354.54
  4. Step 4: Simplify right side
    406,622.82x = 126,460,194,795.76
  5. Step 5: Solve for x
    x = 126,460,194,795.76/406,622.82
  6. Step 6: Final answer
    x = 311,001.22

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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.