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Finding the Fourth Proportional to 405,537.87, 559,456.25 and 262,344.09

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Solution

The fourth proportional to 405,537.87, 559,456.25 and 262,344.09 is: 361,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,537.87 : 559,456.25 = 262,344.09 : x
  2. Step 2: Convert to fraction form
    405,537.87/559,456.25 = 262,344.09/x
  3. Step 3: Cross multiply
    405,537.87x = 559,456.25 × 262,344.09
  4. Step 4: Simplify right side
    405,537.87x = 146,770,039,489.34
  5. Step 5: Solve for x
    x = 146,770,039,489.34/405,537.87
  6. Step 6: Final answer
    x = 361,914.51

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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.