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Finding the Fourth Proportional to 419,706.90, 629,746.65 and 219,979.80

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Solution

The fourth proportional to 419,706.90, 629,746.65 and 219,979.80 is: 330,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,706.90 : 629,746.65 = 219,979.80 : x
  2. Step 2: Convert to fraction form
    419,706.90/629,746.65 = 219,979.80/x
  3. Step 3: Cross multiply
    419,706.90x = 629,746.65 × 219,979.80
  4. Step 4: Simplify right side
    419,706.90x = 138,531,542,117.67
  5. Step 5: Solve for x
    x = 138,531,542,117.67/419,706.90
  6. Step 6: Final answer
    x = 330,067.34

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1.5x scale

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.