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Finding the Fourth Proportional to 419,947.20, 629,920.80 and 209,557.80

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Solution

The fourth proportional to 419,947.20, 629,920.80 and 209,557.80 is: 314,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,947.20 : 629,920.80 = 209,557.80 : x
  2. Step 2: Convert to fraction form
    419,947.20/629,920.80 = 209,557.80/x
  3. Step 3: Cross multiply
    419,947.20x = 629,920.80 × 209,557.80
  4. Step 4: Simplify right side
    419,947.20x = 132,004,817,022.24
  5. Step 5: Solve for x
    x = 132,004,817,022.24/419,947.20
  6. Step 6: Final answer
    x = 314,336.70

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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.