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Finding the Fourth Proportional to 419,666.36, 629,696.10 and 209,320.52

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Solution

The fourth proportional to 419,666.36, 629,696.10 and 209,320.52 is: 314,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,666.36 : 629,696.10 = 209,320.52 : x
  2. Step 2: Convert to fraction form
    419,666.36/629,696.10 = 209,320.52/x
  3. Step 3: Cross multiply
    419,666.36x = 629,696.10 × 209,320.52
  4. Step 4: Simplify right side
    419,666.36x = 131,808,315,093.97
  5. Step 5: Solve for x
    x = 131,808,315,093.97/419,666.36
  6. Step 6: Final answer
    x = 314,078.82

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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.