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Finding the Fourth Proportional to 405,227.82, 559,186.38 and 223,938

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Solution

The fourth proportional to 405,227.82, 559,186.38 and 223,938 is: 309,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,227.82 : 559,186.38 = 223,938 : x
  2. Step 2: Convert to fraction form
    405,227.82/559,186.38 = 223,938/x
  3. Step 3: Cross multiply
    405,227.82x = 559,186.38 × 223,938
  4. Step 4: Simplify right side
    405,227.82x = 125,223,079,564.44
  5. Step 5: Solve for x
    x = 125,223,079,564.44/405,227.82
  6. Step 6: Final answer
    x = 309,018.96

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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.