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Finding the Fourth Proportional to 405,180.96, 608,152.79 and 205,644.54

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Solution

The fourth proportional to 405,180.96, 608,152.79 and 205,644.54 is: 308,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,180.96 : 608,152.79 = 205,644.54 : x
  2. Step 2: Convert to fraction form
    405,180.96/608,152.79 = 205,644.54/x
  3. Step 3: Cross multiply
    405,180.96x = 608,152.79 × 205,644.54
  4. Step 4: Simplify right side
    405,180.96x = 125,063,300,749.27
  5. Step 5: Solve for x
    x = 125,063,300,749.27/405,180.96
  6. Step 6: Final answer
    x = 308,660.36

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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.