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Finding the Fourth Proportional to 419,746.70, 629,620.05 and 354,792.80

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Solution

The fourth proportional to 419,746.70, 629,620.05 and 354,792.80 is: 532,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,746.70 : 629,620.05 = 354,792.80 : x
  2. Step 2: Convert to fraction form
    419,746.70/629,620.05 = 354,792.80/x
  3. Step 3: Cross multiply
    419,746.70x = 629,620.05 × 354,792.80
  4. Step 4: Simplify right side
    419,746.70x = 223,384,660,475.64
  5. Step 5: Solve for x
    x = 223,384,660,475.64/419,746.70
  6. Step 6: Final answer
    x = 532,189.20

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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.