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Finding the Fourth Proportional to 405,387.48, 608,342.34 and 218,529.24

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Solution

The fourth proportional to 405,387.48, 608,342.34 and 218,529.24 is: 327,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,387.48 : 608,342.34 = 218,529.24 : x
  2. Step 2: Convert to fraction form
    405,387.48/608,342.34 = 218,529.24/x
  3. Step 3: Cross multiply
    405,387.48x = 608,342.34 × 218,529.24
  4. Step 4: Simplify right side
    405,387.48x = 132,940,589,220.02
  5. Step 5: Solve for x
    x = 132,940,589,220.02/405,387.48
  6. Step 6: Final answer
    x = 327,934.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.