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Finding the Fourth Proportional to 405,161.91, 559,128.42 and 223,872.26

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Solution

The fourth proportional to 405,161.91, 559,128.42 and 223,872.26 is: 308,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,161.91 : 559,128.42 = 223,872.26 : x
  2. Step 2: Convert to fraction form
    405,161.91/559,128.42 = 223,872.26/x
  3. Step 3: Cross multiply
    405,161.91x = 559,128.42 × 223,872.26
  4. Step 4: Simplify right side
    405,161.91x = 125,173,340,219.99
  5. Step 5: Solve for x
    x = 125,173,340,219.99/405,161.91
  6. Step 6: Final answer
    x = 308,946.46

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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.