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Finding the Fourth Proportional to 405,202.80, 606,929.40 and 263,485.20

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Solution

The fourth proportional to 405,202.80, 606,929.40 and 263,485.20 is: 394,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,202.80 : 606,929.40 = 263,485.20 : x
  2. Step 2: Convert to fraction form
    405,202.80/606,929.40 = 263,485.20/x
  3. Step 3: Cross multiply
    405,202.80x = 606,929.40 × 263,485.20
  4. Step 4: Simplify right side
    405,202.80x = 159,916,914,344.88
  5. Step 5: Solve for x
    x = 159,916,914,344.88/405,202.80
  6. Step 6: Final answer
    x = 394,658.96

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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.