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Finding the Fourth Proportional to 405,192.80, 606,914.40 and 263,475.20

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Solution

The fourth proportional to 405,192.80, 606,914.40 and 263,475.20 is: 394,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,192.80 : 606,914.40 = 263,475.20 : x
  2. Step 2: Convert to fraction form
    405,192.80/606,914.40 = 263,475.20/x
  3. Step 3: Cross multiply
    405,192.80x = 606,914.40 × 263,475.20
  4. Step 4: Simplify right side
    405,192.80x = 159,906,892,922.88
  5. Step 5: Solve for x
    x = 159,906,892,922.88/405,192.80
  6. Step 6: Final answer
    x = 394,643.96

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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.