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Finding the Fourth Proportional to 405,611.86, 608,371.30 and 106,121.34

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Solution

The fourth proportional to 405,611.86, 608,371.30 and 106,121.34 is: 159,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,611.86 : 608,371.30 = 106,121.34 : x
  2. Step 2: Convert to fraction form
    405,611.86/608,371.30 = 106,121.34/x
  3. Step 3: Cross multiply
    405,611.86x = 608,371.30 × 106,121.34
  4. Step 4: Simplify right side
    405,611.86x = 64,561,177,573.54
  5. Step 5: Solve for x
    x = 64,561,177,573.54/405,611.86
  6. Step 6: Final answer
    x = 159,169.85

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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.