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Finding the Fourth Proportional to 419,969.85, 629,954.78 and 402,473.85

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Solution

The fourth proportional to 419,969.85, 629,954.78 and 402,473.85 is: 603,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,969.85 : 629,954.78 = 402,473.85 : x
  2. Step 2: Convert to fraction form
    419,969.85/629,954.78 = 402,473.85/x
  3. Step 3: Cross multiply
    419,969.85x = 629,954.78 × 402,473.85
  4. Step 4: Simplify right side
    419,969.85x = 253,540,323,620.13
  5. Step 5: Solve for x
    x = 253,540,323,620.13/419,969.85
  6. Step 6: Final answer
    x = 603,710.78

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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.