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Finding the Fourth Proportional to 419,960.10, 629,940.15 and 402,464.10

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Solution

The fourth proportional to 419,960.10, 629,940.15 and 402,464.10 is: 603,696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,960.10 : 629,940.15 = 402,464.10 : x
  2. Step 2: Convert to fraction form
    419,960.10/629,940.15 = 402,464.10/x
  3. Step 3: Cross multiply
    419,960.10x = 629,940.15 × 402,464.10
  4. Step 4: Simplify right side
    419,960.10x = 253,528,295,523.62
  5. Step 5: Solve for x
    x = 253,528,295,523.62/419,960.10
  6. Step 6: Final answer
    x = 603,696.15

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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.