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Finding the Fourth Proportional to 405,161.43, 559,120.64 and 223,885.86

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Solution

The fourth proportional to 405,161.43, 559,120.64 and 223,885.86 is: 308,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,161.43 : 559,120.64 = 223,885.86 : x
  2. Step 2: Convert to fraction form
    405,161.43/559,120.64 = 223,885.86/x
  3. Step 3: Cross multiply
    405,161.43x = 559,120.64 × 223,885.86
  4. Step 4: Simplify right side
    405,161.43x = 125,179,204,210.72
  5. Step 5: Solve for x
    x = 125,179,204,210.72/405,161.43
  6. Step 6: Final answer
    x = 308,961.31

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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.