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Finding the Fourth Proportional to 405,212.54, 559,226.97 and 223,959.87

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Solution

The fourth proportional to 405,212.54, 559,226.97 and 223,959.87 is: 309,083.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,212.54 : 559,226.97 = 223,959.87 : x
  2. Step 2: Convert to fraction form
    405,212.54/559,226.97 = 223,959.87/x
  3. Step 3: Cross multiply
    405,212.54x = 559,226.97 × 223,959.87
  4. Step 4: Simplify right side
    405,212.54x = 125,244,399,501.69
  5. Step 5: Solve for x
    x = 125,244,399,501.69/405,212.54
  6. Step 6: Final answer
    x = 309,083.23

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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.